Graphs and Functions Review

The depth of the water in a tank after t minutes is modeled by the function 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.

Answer explanation

f(5) = 3 + 2.5(5)

f(5) = 3 + 12.5

f(5) = 15.5

5 represents the time, so that would be the measurement for minutes, and the depth would be the answer over the time.

For f(x) = -2x + 7, find the value of f(-1)

• 9

• 8

• -1

• 1

Answer explanation

f(-1) = -2(-1) + 7

f(-1) = 2 + 7

f(-1) = 7

For f(x) = -2x + 7, find the value of f(4)

• 9

• 8

• -1

• 1

Answer explanation

f(4) = -2(4) + 7

f(4) = -8 + 7

f(4) = -1

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

• 9

• 8

• -1

• 1

Answer explanation

f(-1) = 9

f(4) = -1

9 + -1 = 8

Determine if the function is discrete or continuous: The function y = 30.48x converts length from x feet to y centimeters

• Discrete

• Continuous

Answer explanation

Feet and centimeters can be broken down into smaller parts

Determine if the function is discrete or continuous:

• Discrete

• Continuous

Answer explanation

both minutes and gallons can be broken down into smaller units of measure

Determine if the graph is discrete or continuous.

• Discrete

• Continuous

• Neither

Determine if the graph is discrete or continuous.

• Discrete

• Continuous

• Neither

Determine whether each function is linear or nonlinear.

y + 4x = 0

• Linear

• Nonlinear

The distance remaining to a destination after t minutes is given by d(t) = 340 – 0.85t, measured in miles. The graph of d(t) is shown. After how many minutes is the destination reached?

Answer explanation

It is the x-intercept of the graph. It is the end behavior of reaching the destination.