Exponential Functions vs Linear Functions

Is the table linear or exponential?

• Linear

• Exponential

What functions describes this graph?

• Linear

• Exponential

• neither

Is the table linear or exponential?

• Linear

• Exponential

Is the equation linear or exponential?

• Linear

• Exponential

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).

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

True or False: All increasing exponential functions eventually exceed all increasing linear functions.

• True

• False

Solve the equation 3 * 2^x = 24 and identify the type of function it represents.

• Linear function

• Quadratic function

• Exponential function

• 5 * 2^x = 24

As x increases beyond 25, which function will have the largest value?

• f(x) = 1.5^x

• g(x) = 1.5x + 3

• h(x) = 1.5x²

• k(x) = 1.5x³ + 1.5x²

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?