Precalculus Rate of Change

Which equation matches the graph? (Click me to see the image)

• y = 2x

• y = 1/4 x + 2

• y = 1x + 4

• y = -2x

Which is the graph of y= -x + 2? 

• A

• B

• C

• D

Identify the slope of the following graph.

• Positive

• Negative

• Zero

• Undefined

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

• y = -3x - 23

• y = -3x - 13

• y = -3x - 11

• y = -3x + 13

Over what intervals is the average rate of change decreasing?

• (-∞, 1)

• (0, 2)

• (-1, ∞)

• (-∞, 2)

What is the rate of change for Function C?

• 2/3

• 3/2

• 3

• 2

Find the average rate of change on the interval (0, 3). 

• 4

• 7

• 7/3

• 3/7

On what interval is the average rate of change positive?

Shawn recently went skydiving for his birthday. The relationship between the time in seconds, x, and his elevation in feet, y, is shown in the table below. Find the rate of change and explain its meaning.

• 12,500; Shawn ascends at a rate of 12,500 feet per second.

• -175; Shawn descends at a rate of 175 feet per second.

• -175; Shawn's initial height is -175 feet.

• 12,500; Shawn's initial height is 12,500 feet.

What is the rate of change?

Mathematical Equivalence

ON