Compare Slopes of Two Functions

Compare the 4

functions shown in the box.

Which has a positive slope?

• Only Function 1

• Only Function 3

• Both functions 1 & 3

• Both functions 2 & 3

Which statement is true about the rate of change of the two functions?

• Both functions have negative rates of change.

• Both functions have positive rates of change.

• Function 1 has a negative rate of change, while that of Function 2 is positive.

• Function 1 has a positive rate of change, while that of Function 2 is negative.

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.

Equation A:   y = 2x + 3
Equation B:   y = 3x - 3
Which equation has a higher slope? 

• Equation A

• Equation B

• They have the same slope

which statement is true?

• The slope of Function A is greater than the slope of Function B.

• The slope of Function A is less than the slope of Function B.

Which equation has a greater slope?

• Equation A

• Equation B

• They have the same slope

Which company shows a greater slope?

• Water's Edge Rafts

• Ryan's Rafts

How do the slopes of the graphs compare?

• Jack charges more per gallon of water.

• Jill charges more per gallon of water.

• Jack carries more water.

• Jill carries more water.

Who has the greater slope?

• Tyler has the greater slope with 2/3

• Aubri has the greater slope with 3/2

• Tyler has the greater slope with 3/2

• They have the same slope.