Identify Create and Evaluate Functions

The initial weight of a container is 6.2 pounds. As water is added to the container, the weight increases at a rate of 0.6 pounds per minute. Which function models the weight of the container as a function of time?

• f(t)=0.6t+6.2

• f(t)=t+6.8

• f(t)=6.2-0.6t

• f(t)=6.2t+0.6

A frozen yogurt store charges based on how many ounces of yogurt, y, a customer puts in their cup. They also charge a flat price for unlimited toppings. The function for the cost of a cup of yogurt with toppings is f(y)=0.37y+1.50. What does the function indicate?

• Each ounce of yogurt decreases the cost by $0.37.

• Each ounce of yogurt increases the cost by $0.37.

• Each ounce of yogurt decreases the cost by $1.50.

• Each ounce of yogurt increases the cost by $1.50.

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)

• (3,4) (4,-3) (7,4) (3, 8)

• (6,-5) (7, -3) (8, -1) (9, 1)

• (2, -2) (5, 9) (5, -7) (1, 4)

Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)

• (3, 7)

• (4, 1)

• (1, 9)

• (2, 6)

Evaluate the function at h(-5).

Mathematical Equivalence

ON

Evaluate the given function.

Mathematical Equivalence

ON

Function or not? (a)  

Domain =​ (b)  

Range =​ (c)  

• Function

• Not a Function

• {-5, -2,  2}

• {-4, 1. 3}

Answer explanation

The relation is not a function because it assigns multiple outputs to at least one input. The domain is {-5, -2, 2} and the range is {-4, 1, 3}, confirming the correct choices.

complete the table using the function

f(x) = 2 ( x + 2 ) + 4x

c

d

e

f

64

20

32

2

15

4

f(-2)=​ (a)  

g(-2)=​ (b)  

h(-2)=​ (c)  

• 3

• 6

• -3

• -6

• 5

• -5

• 11

• -11

Match the following function notation values

• -3

• f(-2)

• -4

• f(0)

• 8

• f (x) = -8

• -6

• f(6)

• -7

• f (x) = -1