Comparing Functions

Who has the greater rate of change?

• Troy has the greater rate of change.

• Lucy has the greater rate of change 

• They have the same rate of change

Evaluate the function when x = 4

• f(4) = 2(4) - 5 = 3

• f(4) = 2(4) - 5 = -1

• f(4) = ½(4) + 1 = 3

• f(4) = 4

Match the graph to the type of function.

• Green Graph = Linear

  Red Graph = Quadratic

  Blue Graph = Exponential

• Green Graph = Quadratic

  Red Graph = Linear

  Blue Graph = Exponential

• Green Graph = Exponential Red Graph = Linear

  Blue Graph = Quadratic

Identify the type of function. Justify your reason.

• Linear because x increases at a constant rate.

• Quadratic because the y values are squaring each time.

• Exponential because the common ratio is 3.

• Exponential because the common second difference is 3.

• Function J, -6

• Function J, 8

• Function K, 5

• Function K, 10

• Function J, -6

• Function J, 8

• Function K, 5

• Function K, 10

Who has the greater rate of change?

• Smith has the greater rate of change with 5/4

• Harmon has the greater rate of change with 7/2

• Smith has the greater rate of change with 4/5

• They have the same rate of change.

Which line has a slope of 0?

• Line A

• Line B

• Line C

• Line D

A(n) _________________ function will ADD the same number each time.

• Linear

• Exponential

• Neither

What is the pattern for this table?

• +5

• -5

• x2

• +2