Comparing Slopes of Different Functions

What is the slope of Function A? (Hint slope is Y / X)

• -1/2

• -2

• 7

• -7/3

What is the slope of Function B?

• -1/2

• -2

• 7

• -7/3

Parallel Lines never intersect because...

• they have the same slopes.

• they have the same y-intercept.

• they have different slopes.

• they have different y-intercepts.

Two linear functions, f(x) and g(x) are represented. Compare the functions stating which has a greater rate of change. The function ​ (a)   has the greater rate of change. The rate of change is ​​ (b)   .

• g(x)

• 20.5

• -3

• 3

• -0.8

• f(x)

• 4

• -5/2

• -2/5

• 5.5

Which of the following is the best description of how the slope of r compare with the slope of s(x)?

• The slopes of r and s(x) are the same, so the lines are parallel.

• The slopes of r and s(x) are not the same, so the lines are not parallel.

• The slopes of r and s(x) are both negative.

• The slopes of r and s(x) are both positive.

In comparing the rates of change, which statement about Function A and Function B is true?

• Function A and Function B have the same rate of change.

• Function A has a greater rate of change than Function B.

• Function A and Function B both have negative rates of change.

• Function A has a negative rate of change and Function B has a positive rate of change.

• Function A and Function B both have the same y-intercept.

The graph of function f(x) is shown in the coordinate plane below.  A table listing some of the values of the linear function g(x) is shown below. Which of the two functions has the greater rate of change? Explain your reasoning.

The rate of change for function f(x) is ​ (a)   and the rate of change for g(x) is ​ (b)   so the function ​ (c)   has the greatest rate of change.

• -1/2

• 3

• g(x)

• f(x)

• -2

• -3

• 1/3

• -1/3

• 1/2

Select the function with the greatest slope.

• Function A

• Function C

• All have the same slope.

Put the functions in order from least to greatest slope.

• A, B, C

• B, A, C

• A, C, B

• B, C, A

Select the function with the greatest rate of change.

• Function A

• Function B

• Function C

• All have the same rate of change.