Hich statements about the function f are true? Check all that apply. The domain of f(x) is {all real numbers}. The range of f(x) is {all real numbers}. The domain of f(x) is {x| x > 0}. The range of f(x) is {y| y > 0}. f(2) = 4 f(2) = 2(x + 3)
Answers
Answer:
A. The domain of f(x) is {all real numbers}.
B. The range of f(x) is {all real numbers}
E. f(2) = 4
Explanation
Find the graph attached.
The domain of a function is the value of the input variable x for which the function f(x) exists. Given the function
f(x) = 1/2 x + 3
The function will exist on all values of x (either positive or negative).
The domain can be said to exist on all real values. If you look at the graph, we will see that the line tends to both negative infinity and positive infinity. Hence the domain can be represented according to the set notation:
DOMAIN: (-∞, ∞)
The range is the set of output value y for all input variable x. The output value y will also exist on all real values because, no matter the value of x imputed in the function, we will always get a finite value as the output. Hence the range of the function is denoted by the set notation:
RANGE: (-∞, ∞)
Next is to get f(2).
To get f(2), we will set the input value as 2 and calculate for the output value as shown:
f(2) = 1/2(2) + 3
f(2) = 1+3
f(2) = 4
Hence the following are true of the function:
The domain of f(x) is {all real numbers}.
- The range of f(x) is {all real numbers}
- f(2) = 4
Related Questions
A tree in the Amazon rain forest grows an average of 2.3 cm per week. Write a sequence that represents the weekly height of the tree if it is 7 meters tall today. Write a recursive formula for the sequence and find the height of the tree after 6 weeks.
Answers
Answer:
Recursive formula
= an = a1 +(n - 1)d
Where
a1 = First term
n = nth term
d = common difference
The height of the tree after 6 weeks = 711.5 centimeters or 7.115 meters
Step-by-step explanation:
Recursive formula
= an = a1 +(n - 1)d
Where
a1 = First term
n = nth term
d = common difference
We are told that the tree is 7 meters tall today = a1
We convert to centimeters
1m = 100cm
7m =
Cross Multiply
= 7 × 100cm
= 700cm
And it grows at an average of 2.3cm per week = 2.3
Hence, an = a1 +(n - 1)d
We are to find the height of the tree after 6 weeks
a6 = 700 + (6 - 1) 2.3
a6 = 700 + (5)2.3
a6 = 700 + 11.5
a6 = 711.5cm.
We can convert to meters if we like
= 100 cm = 1 m
711.5 cm =
711.5cm/100
= 7.115m
The height of the tree after 6 weeks is 711.5 cm or 7.11 meters
t - 27 = 4t
What equals t
Answers
Answer:
-9
Step-by-step explanation:
Answer:
3t=-27
t=-9
Step-by-step explanation:
If there is 3 grams of protein in 1/4 cup of cereal, how mcuh is in 1 cup/ what is the unit rate
Answers
Answer:
12
Step-by-step explanation:
if there's 3 grams in 1/4 cup then add it until there's a whole cup. (I don't know about the unit rate part sorry
Give me the answer please I need help
Answers
ABC=40 and Bd is angle bisector of ABC what is ABD= ?
Answers
Answer:
20
Step-by-step explanation:
40 ÷ 2 = 20
its 20 since BD is an angle that bisects " divdes " angles in half.
The measure of angle ABD is 20 degrees and this can be determined by using the properties of the angle bisector.
Given :
ABC = 40 and BD is the angle bisector of angle ABC.
The following steps can be used in order to determine the angle ABD:
Step 1 - According to the given data, BD is the angle bisector of angle ABC.
Step 2 - An angle bisector bisects the angle into two equal parts.
Step 3 - So, the measure of angle ABD is calculated as:
[tex]\angle ABD = \dfrac{\angle ABC}{2}\\\\ \angle ABD = \dfrac{40}{2}\\\\ \angle ABD = 20^\circ[/tex]
So, the measure of angle ABD is 20 degrees.
For more information, refer to the link given below:
https://brainly.com/question/2478436
Li Na is going to plant 636363 tomato plants and 818181 rhubarb plants. Li Na would like to plant the plants in rows where each row has the same number of tomato plants and each row has the same number of rhubarb plants. What is the greatest number of rows Li Na can plant?
Answers
Answer:
9 rows
Step-by-step explanation:
Given that:
Li Na wants to plant 63 tomato plants and 81 rhubarb plants
However, Li Na was hoping with the mindset to plant the plants in rows;
where each row possesses the same number of tomato plants and rhubarb plants.
So;
Suppose we choose a given number, Let's say (9) to be the divisor for both the number of tomato plants and rhubarb plants;
Then
63/9 tomato plants = 7 tomato plants
81/9 rhubarb plants = 9 rhubarb plants
Therefore, the greatest number of rows Li Na can plant 7 tomato plants and 9 rhubarb plants = 9
Answer:
9
Step-by-step explanation:
khan said so
What is p in p+5=p+6 it doesn’t make sense to me
Answers
Answer:
no solution
Step-by-step explanation:
Given
p + 5 = p + 6 ( subtract 5 from both sides )
p = p + 1 ( subtract p from both sides )
0 = 1 ← not possible
Because it makes no sense the equation has no solution
There are 15 pieces of fruit in a bowl and 9 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
Answers
Answer:
9 divided by 100 = 0.09 x 15 = 1.35 = 13%
PLs mark me brainliest
Answer:
60%
Step-by-step explanation:
You can first convert 9 out of 15 into 9/15. Then, you can find the percent of 9/15, which is 60% :)
~Happy Halloween!~
PLZ HELP ASAP -34 is the _______th term of 30,22,14,6,...
Answers
Answer:
the ninth term of 30, 22, 14, 6, -2, -10, -18, -26, -34
Step-by-step explanation:
PLZ HELP ME AND THANK YOU: Mr. Miori bought a new tree for his backyard. He bought a red oak that cost $30. Since trees are a sales taxable item, he had to pay a sales tax of 7%. What was the total cost of his tree including tax?
Answers
Answer:
50
Step-by-step explanation:
k;';'kl;'kl;'kl;'kl;'kl;'kl'kl;'kl;'kl;'kl;
Step-by-step explanation:
[tex] \frac{7}{100} \times 30 = 2.10[/tex]
[tex]30 + 2.10 = 32.10[/tex]
Can someone please help me ASAP ill mark brainlist!!!!
Answers
Answer:
45% of 188.94 is 85.023 so we do this 188.94 - 85.023 would equal 103.917
Step-by-step explanation:
THE ANSWER IS 103.917! HOPE THIS HELPS! PLZ GIVE ME BRAINLIEST
The population of Greenville is 175% of the population of Washington County. Find
the population in Greenville if the population in Washington County is 4,000 people.
Answers
4,000 times 1.75 = 7,000
Please give me Brainliest, I put a lot of time and research into my answer.
GIVING BRAINLIST!!!
Refer to the figure at the right. What percent of the
area of rectangle PQRS is shaded?
A) 12.5%
B) 25%
C) 30%
D) 40%
Answers
Step-by-step explanation:
B) 30%, if you put the two pieces together it would be 30% of the rectangle that is shaded
The percent of the area of rectangle PQRS is shaded is 25%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100.
Given:
The shape is a rectangle and it is cut into half using diagonal.
again cut by another diagonal which 1/4 section.
Now again it is one more time cutted but this time make section of 1/8
As, there are two shaded section
=1/8+1/8
=2/8
=1/4
=1/4 *100
=25%
Hence, percent of the area of rectangle PQRS is shaded is 25%.
Learn more about percentage here:
https://brainly.com/question/28269290
#SPJ2
A cat spends 2/3 of its life asleep. If a cat lives to be 15 years old, how many years di it spend asleep?
Answers
Answer:
10 years
Step-by-step explanation:
You start by writing an equation:
(2/3) * (15) = x
x being how many years it has been asleep.
Then multiply the two numbers together:
x = 10
Answer:
10 years
Step-by-step explanation:
Divide the cats life by the denominator to find how much it sleeps for 1/3 of its life.
15 3 = 5 years
Multiply 5 by the numerator to find how much it sleeps for 2/3 of its life.
5 * 2 = 10 years
Best of Luck!
need it asap please help im lost
Answers
Answer:
A. Hour 0 to 5
Step-by-step explanation:
The question is basically just asking where the temperature decreases. If you look, the temperature value decreases the whole time except from 5 to 8.
Answer:
It's from 0 to 5 hour
Step-by-step explanation:
In these 8 hours, the Fahrenheit from 0 - 5 hours is decreasing and after of it is become higher which is from 5 - 8
Enter the number that makes the equation 0.76+24/100=□/100+24/100 true
Answers
X=100*0,76
X=76
Answer:
76
Step-by-step explanation:
The upper and lower quartiles are the _______________ of each half of the data.
Group of answer choices
mean
none of the above
mode
median
Answers
passing through point (0,5) and perpendicular to the x-axis
Answers
which graph represents the table of values?
Answers
Answer:
The answer is A
Step-by-step explanation:
Just pin point each coordinate in order and connect the dots, you will get line A
PLZ ANSWER ONLY IF YOU KNOW!!! BRAILIEST 5 STARS AND A THANKS!!!
When Samantha uses her calling card overseas, the cost of a phone call is $0.75 for the first three minutes and $0.12 for each additional minute, thereafter. Samantha plans to spend at most $3.60 to make a call. Find the greatest possible length of talk time. Round your answer to the nearest whole number.
Answers
x = 26.75 min
26 minutes, would = 3.51. if you add .12 to that it is 3.63.
so the most that she could talk would be 26 minutes.
9×10 to the power of two is how many times as much as 3×10 to the power of -2
Answers
If you were to describe a reflection of triangle ABC what information would you need to include in your discription
Answers
Answer:
Step-by-step explanation:
You need to add angle of rotation, direction and center of rotation..
A fox is traveling at 11.2 m/s (meters per second). How far
will it travel in 2 minutes?
Answers
Answer:
1344 meters in two minutes.
Step-by-step explanation:
since its moving at 11.2 meters per second then you multiply 11.2 times 60. You should get 672 meters per minute. Now you need to multiply 672 by 2 to get the answer 1344
Write 23%, 36%, 4%, 1%, and 99% as fractions
Answers
Answer:
23/100
9/25
1/25
1/100
99/100
Step-by-step explanation:
Converted to fractions over 100 and found GCF of denominator and percentage
Answers: 23/100, 36/100, 4/100, 1/100, 99/100.
Which graph represents an even function?
On a coordinate plane, a hyperbola has a curve in quadrant 1 and a curve in quadrant 3. The curve in quadrant 1 has a vertex at (2, 2) and goes through points (1, 5) and (5, 1). The curve in quadrant 3 has a vertex at (negative 2, negative 2) and goes through points (negative 5, negative 1) and (negative 1, negative 5).
On a coordinate plane, a function has two curves. The first curve is asymptotic to x = negative 3, goes through (negative 2, 0), has a minimum of (negative 1.5, negative 1), goes through (negative 1, 0), and connects with the second curve at (0.5, 3). The second curve starts at (0.5, 3), goes through (2, 0), has a minimum of (2.5, negative 1), goes through (3, 0), and is asymptotic to x = 4.
On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (0, 4), and goes through (2, 0).
On a coordinate plane, a straight line has a negative slope. It goes through (negative 2, 4), crosses the y-axis at (0, 2), and crosses the x-axis at (2, 0).
Answers
Using the concept of even function, it is found that the graph that represents an even function is the third option, given by:
On a coordinate plane, a parabola opens down. It goes through (-2, 0), has a vertex at (0, 4), and goes through (2, 0).
--------------------------------
For an even function, [tex]\mathbf{f(x) = f(-x)}[/tex] for all values of x.--------------------------------
For the first option, [tex]f(1) = 5[/tex], and [tex]f(-1) = -5[/tex], thus [tex]\mathbf{f(x) \neq f(-x)}[/tex], and the function is not even.For the second option, there are asymptotes, thus, it is not even.For the third option, from the information given, [tex]\mathbf{f(-2) = f(2)} = 0[/tex], we suppose this extends for all values of x, thus, it is even, and this is the correct option.For the fourth option, [tex]f(-2) = 4[/tex] and [tex]f(2) = 0[/tex], thus [tex]\mathbf{f(-x) \neq f(x)}[/tex], and the function is not even.A similar problem is given at https://brainly.com/question/16711376
Answer:
c) the parabola
Explanation:
Hope you have a great day!
Do the ratios 2/4 and 1/5 form a proportion?
Answers
Answer:
yes
Step-by-step explanation:
Answer: no I don’t believe so
7)
Find the slope of the line
O -5/3
0 -3/5
5/3
O 3/5
Answers
Answer: - 5/3
find the rise (-5) and the run (-3) and divide them .
————-
X2-x1
Find the points for each dot
P1 and p2
please help? what does x equal?
Answers
Answer:
Step-by-step explanation:
Sum of all angles in a trapezium equals 360° and we two 90° angles so now,
[tex]90+90+x+(x-60)=360\\180+2x-60=360\\2x=360-180+60\\2x=180+60\\2x=240\\x=240/2\\x=120[/tex]
so now the angles are 90°,90°,120° and 60° i also attached an image so you can understand better.
*EXTRA PTS* can someone explain how to figure out if a graph is a function or not a function
Answers
Answer:
draw a strait line and if it doesn't touch another dot it is a function
Step-by-step explanation:
Answer: Vertical line test
Step-by-step explanation:
Look at one of the graphs you have a question about. Then take a vertical line and place it on the graph. If the graph is a function, then no matter where on the graph you place the vertical line, the graph should only cross the vertical line once.
107. 12ML to L
I need help please
Answers
Answer : 0.10712
Step-by-step explanation: Please give brainliest it helps alot