Practice Comparing Functions

Linear

Exponential

Neither

Graph A

Graph B

Graph C

Graph D

f(x)

h(x)

g(x)

f(x) = -19.9x + 221

f(x) = -0.29x² - 17.8 + 218.0

f(x) = 235.7(0.87)^x

f(x) = -18x + 220

Function B has a higher y-value when x = 2, it is 12 units higher

Function A has a higher y-value when x = 2, it is 12 units higher

Function B has a higher y-value when x = 2, it is 78 units higher

Function A has a higher y-value when x = 2, it is 4 units higher

g(x) rate of change is ALWAYS greater than f(x) rate of change.

g(x) is NEVER greater than f(x) rate of change.

g(x) will eventually exceed the rate of change of f(x).

There is not enough information to compare the rate of change of f(x) to g(x).

The value of g(x) is always greater than the value of f(x).

The value of g(x) is never greater than the value of f(x).

The value of g(x) will eventually exceed the value of f(x).

There is not enough information to compare the value of f(x) to the value of g(x).

Function J, -6

Function J, 8

Function K, 5

Function K, 10

Kevin makes more money.

Alfredo make more money.

They make the same amount of money.

Beth's service ($38 vs. $40) is cheaper

Nate’s service ($42 vs. $44) is cheaper

Nate’s service ($38 vs. $40) is cheaper

Beth's service ($42 vs. $44) is cheaper