Comparing Rates of Change in Functions

What is another term for the rate of change in a function?

• Vertex

• Axis

• Slope

• Intercept

Which variable is commonly used to represent slope?

• c

• k

• b

• m

In the interval from 0 to 2, what is the slope of the function f(x) = 1/2x - 7?

• 7

• 1

• 2

• 1/2

For the function g(x) given by the table, what is the change in y from 0 to 2?

• 16

• 8

• 32

• 24

Which function has a greater rate of change over the interval from 0 to 2?

• Cannot be determined

• f(x)

• g(x)

• Both have the same rate of change

In Example 2, what is the slope of h(x) over the interval from -2 to 0?

• 4

• 2

• 0

• 1

For j(x) in Example 2, what is the change in y from -2 to 0?

• 2

• 5

• 4

• 6

Which function has a greater rate of change over the interval from -2 to 0?

• Both have the same rate of change

• j(x)

• h(x)

• Cannot be determined

In Example 3, what is the slope of the linear function f(x) = 3x + 1?

• 3

• 2

• 0

• 1

For the exponential function g(x) in Example 3, what is the slope over the interval from -2 to -1?

• 1

• -1

• -2

• 2