Module 2 Review

For 𝑓(𝑥) = − 3𝑥 + 1, 𝑓(−10) =?

• -29

• 5

• 31

• 19

For 𝑓(𝑥) = − 2𝑥 + 7, find the value of 𝑓(−1) + 𝑓(4).

• 8

• 5

• 9

• 13

• -47

• -37

• 37

• -14

The depth of the water in a tank after 𝑡 minutes is modeled by 𝑓(𝑡) = 3 + 2.5𝑡, measured in inches. Find and interpret 𝑓(5).

• 15.5; The depth of the water after 5 minutes is 15.5 inches.

• 15.5; The water reaches a depth of 5 inches after 15.5 minutes.

• 27.5; The depth of the water after 5 minutes is 27.5 inches.

• 27.5; The water reaches a depth of 5 inches after 27.5 minutes.

Determine whether each situation represents a discrete or continuous function.

The function y=3x+2 represents the amount of water y in gallons in a tank after x minutes.​ (a)  

The function y=50-3.5x represents the amount of y of money in dollars that you have left after buying x loaves of bread.​ (b)  

• Discrete
• Continuous
• Neither

• True

• False

Determine whether each function is continuous, discrete, or neither.

• Discrete

• 
• Neither

• 
• Continuous

• 

• Linear
• Non Linear

Ronald buys fresh fruit from a fruit stand. Apples cost $5 per pound and peaches cost $6 per pound. He has $60 total to spend. The table shows the function relating the number of pounds of apples x and the number of pound of peaches, y, Ronald could purchase.

The ​ (a)   -intercept shows that if Ronald buys only apples, he can buy ​ (b)   pounds.

The ​ (c)   -intercepts shows that if Ronald buys only peaches, he can buy ​ (d)   pounds.

• 12

• 20

• x
• 12
• y
• 10
• 0

A root of the equation, 3𝑥− 8 = 13, is.

• -8

• 7

• 2.5

• 8