Free Printable F-IF Interpreting Functions (Math 1 EOC Review)

1.

INACTIVE: The total cost, in dollars, of membership to a gym is given by the function $c(m)=30m+20$ , where m is the number of months a person is a member. In dollars, how much is the cost of a membership for 1 year?

(a)

2.

Jasmine is going to the skating rink.

• The cost to rent roller skates for x hours is given by the function $f(x)=1.25x+2.00$ .

• The cost to rent rollerblades for x hours is given by the function $h(x)=2.00x+1.50$ .

If Jasmine rents the roller skates for 2 hours, how much cheaper will it be than if she had rented rollerblades?

(a)

3.

The function $f\left(x\right)=10\left(2\right)^x$ represents the prediction of the population of coyotes in an area x years after the year 2023. What is the predicted number of coyotes in the area in 2026?

(a)

4.

The area of a square can be written as a function of its edge length, $A(x)=x^2$ . Which is a correct interpretation of $A(3x)$ ?

a)

The area of the square triples when its edge length triples.

b)

The area of the square increases by a factor of 6 when its edge length triples.

c)

The area of the square increases by a factor of 9 when its edge length triples.

d)

The area of the square increases by a factor of 12 when its edge length triples.

5.

The function $a(n)=4n-6$ represents the value of the nth term in a sequence. What is the product of the 1st and 4th terms of the sequence?

(a)

6.

A function is shown below. $h(x)=18.30-1.24x$ What is the value of $h(20)$ ?

(a)

7.

Which function has the largest value for $f(-3)$ ?

a)

$f(x)=2x-5$

b)

$f(x)=2-4x$

c)

$f(x) = 6 - 3^x$

d)

$f\left(x\right)=2^x+10$

8.

Two functions are shown.

$f(x)=32(0.5)^x$

$g(x)=12x+16$

What is the value of $f(4)+g(2)$ ?

(a)

9.

A function is shown. $f(x)=-\frac{2}{3}x+k$

If $f(18)=-7$ , what is the value of k?

(a)

10.

The function $f\left(x\right)=-2x^2+10x$ models the height above the ground, in cm, of a jumping frog where x is the horizontal distance, in cm, the frog traveled during the jump. What was the horizontal distance, in cm, that the frog traveled during its jump?

(a)

11.

A company models its net income, in thousands of dollars, with the function $f(x) = 6x^2 - 30x - 84$ , where x is the number of units of its product sold. How many units of its product does the company need to sell in order for the net income to equal $0?

(a)

12.

What is the value of the larger zero of the function $f\left(x\right)=2x^2-6x-20$ ?

(a)

13.

A toy rocket is launched from the ground with an initial velocity of 32 feet per second. The formula $h = 48t - 16t^2$ gives its height, h, in feet, after t seconds. At what time does the rocket hit the ground?

a)

t = 16

b)

t = 2

c)

t = 3

d)

t = 0

14.

What is the value of the negative zero of the function $h(x)=2x^2+5x-12$ ?

(a)

15.

The function $f(t)=1,200(1.03)^t$ models the amount, in dollars, in an account after t years. What does 1.03 represent?

a)

The initial amount in the account is $3.

b)

The initial amount in the account is $103.

c)

The amount in the account is increasing by 3% each year.

d)

The amount in the account is decreasing by 3% each year.

16.

Tereka and Emma each deposit money in savings accounts. The amount of money, in dollars, in Tereka’s account after x years is modeled by the function $T(x) = 472(1.04)^x$ . The amount of money, in dollars, in Emma’s account after x years is modeled by the function $E(x) = 485(1.09)^x$ . What is the difference between the initial amounts Tereka and Emma deposit?

a)

$4

b)

$5

c)

$9

d)

$13

17.

Dalton and Connor each invest money. The function $f(x) = 850(1.07)^x$ models the value of Dalton’s account after x years. The function $g(x) = 844(1.06)^x$ models the value of Connor’s account after x years. What is the difference between the percentage points of the two annual interest rates?

a)

1%

b)

4%

c)

6%

d)

7%

18.

Layla compared the function $f(x)=-4x-5$ to the linear function $g(x)$ in the given table. What is the sum of the y-intercepts of the functions?

a)

-5

b)

-4

c)

2

d)

7

19.

Daniel compared the linear function, f(x), containing the points (10, -7) and (5, -5), to the function given $g(x) = x^2 + 6x + 8$ . What is the distance between the y-intercepts of the two functions?

a)

2 units

b)

5 units

c)

9 units

d)

11 units

20.

What is the distance, in units, between the y-intercept of $f(x) = 3x^2 + 2x - 4$ and the y-intercept of the linear function that passes through the points shown in the table?

(a)

21.

How far is the y-intercept of the function that fits the values in the table below, from the y-intercept of the function graphed below?

a)

1 unit

b)

2 units

c)

5 units

d)

9 units

22.

Function F is defined by $F(x)=-x^2-2x+4$ . The graph of function $g\left(x\right)$ is shown at the right.

Let $h$ represent the y coordinate of the vertex of the graph y = $f(x)$ .

Let $j$ represent the y coordinate of the vertex of the graph y = $g(x)$ .

What is the value of $j-h$ ?

a)

$6$

b)

$7$

c)

$8$

d)

$9$

23.

Greg compared function $g(x)=-7x^2+10x+12$ to the quadratic function h(x), shown in the table.

Which statement is correct?

a)

Functions g(x) and h(x) have the same x-intercepts.

b)

Function h(x) has a y-intercept twice that of g(x).

c)

Function h(x) has the smaller maximum.

d)

Function g(x) has the largest x-intercept.

24.

Randy compared the function f(x) = $x^2 + 10x - 11$ to the quadratic function $g(x)$ , shown in the table. What is the largest minimum value of the two functions?

a)

-5

b)

-5.50

c)

-6.25

d)

-36

25.

The function $f(x)=12,500-800x$ represents the resale value of Joe’s car as it depreciates x years after its purchase. The table given shows the value of Adam’s car as it depreciates linearly x years after its purchase. What is the difference between the amount the resale value changes each year for the two cars?

a)

$600

b)

$800

c)

$1,100

d)

$2,700

26.

Which choice is the graph of $y=(4-x)(x+2)$ ?

a)

b)

c)

d)

27.

A company models its net income, in thousands of dollars, with the function $f(x)=9x^2-54x-144$ , where $x$ is the number of units of its product sold. How many units of its product does the company need to sell in order for the net income to equal $\$0$ ?

(a)

28.

The total cost, in dollars, of membership in a fitness center is given by the function $c(m)=20m+40$ , where $m$ is the number of months a person is a member. In dollars, how much is the cost of a membership for 1 year?

(a)

29.

What is the value of the smaller zero of the function $f(x)=2x^2-8x-24$ ?

(a)

30.

What is the distance, in units, between the y-intercept of $f(x)=x^2+7x-18$ and the y-intercept of the linear function that passes through the points shown in the table?

(a)

31.

The function $a(n)=3n-7$ represents the value of the nth term in a sequence. What is the sum of the 1st and 5th terms of the sequence?

(a)

32.

A function is shown below.

$g(x)=19.60+1.74x$

What is the value of $g(30)$ ?

(a)

33.

What is the distance between the y-intercept of the function $f(x)=2x^2-6x+3$ and the y-intercept of the linear function g represented by the table given?

a)

2 units

b)

3 units

c)

8 units

d)

9 units

34.

The table below shows the hours, x, spent working on a new road and the distance, y, of finished road. What is the slope of the line that fits these data?

a)

$\frac{3}{400}$

b)

$\frac{3}{100}$

c)

$\frac{3}{25}$

d)

$3$

F-IF Interpreting Functions (Math 1 EOC Review)

Total questions: 34

Worksheet time: 3hrs 30mins

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