Average Rate of Change and Piecewise Functions

Multiple Choice

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2
• -1/2
• 2
• -2

Multiple Choice

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

• 2

• 1/2

• -2

• -1/2

Multiple Choice

Calculate the average rate of change from 20 to 40 minutes.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

Multiple Choice

Is the function Linear or Nonlinear?

• Linear
• Nonlinear

Multiple Choice

What is the slope in the equation:  y=4x+3

• 3
• 4x
• 4
• x

Multiple Choice

How many "pieces" are graphed in this function?

• 1

• 2

• 3

• 4

Multiple Choice

Using the pictured graph, what is f(-3)? 

• -3
• -1
• 1
• 3

Multiple Choice

What is m(-3) if:    

• -3

• 0.5

• 3

• -3.5

Multiple Choice

Given the graph of f(x), find f(2)

• f(2) = -1

• f(2) = 5

• f(2) = 2

• f(2) = 1

Multiple Choice

Find the value of f(4) given the following graph.

• $$-2$$

• 1

• 4

• $$-5$$

Multiple Choice

Find f(-2)

• -3
• 6
• 8
• -6

Multiple Choice

A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.

How much does he earn for a 70 hour week?

• $1020

• $1140

• $840

• He works for free!

Multiple Choice

2. Jay rides in a boat from his home to his friend’s home in a neighboring state. The graph of the function 𝙙(𝙩) = 𝟯𝟬|𝙩 − 𝟭.𝟱| shows the distance of the boat in miles from the state line at t hours. Assume the graph shows Jay's entire trip.

 How far does Jay travel to visit his friend?

• 90 miles

• 40 miles

• 45 miles
  

• 2.5 miles