Practice Comparing Functions

Is the table linear, exponential or neither?

• Linear

• Exponential

• Neither

Which graph is linear?

• Graph A

• Graph B

• Graph C

• Graph D

Which function has the greatest y-intercept?

• f(x)

• h(x)

• g(x)

Which function best models this data?

• f(x) = -19.9x + 221

• f(x) = -0.29x² - 17.8 + 218.0

• f(x) = 235.7(0.87)^x

• f(x) = -18x + 220

These two incomplete tables are given to you, which function has a higher y value when x = 2? How much higher is this value?

• 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

Which statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x).

• 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).

Tags

TEKS.MATH.8.5C

Which statement below describes the comparison of the linear function f(x) and the exponential function 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

Who makes more money babysitting?

• Kevin makes more money.

• Alfredo make more money.

• They make the same amount of money.

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?

• 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