12.05 Characteristics of Exponential Functions

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as the input (x) approaches positive or negative infinity.

Front

Which of the following could correctly represent a horizontal asymptote?

Back

y=3

Front

Exponential functions are repeated __________?

Back

Multiplication

Front

What does the 'a' represent in an exponential function?

Back

Y-INTERCEPT

Front

What is the horizontal asymptote of the function f(x) = 2^x - 3?

Back

y=-3

Front

Which represents exponential decay?

Back

D

Front

What is the general form of an exponential function?

Back

f(x) = a * b^x, where a is the y-intercept and b is the base.

Front

What does the base 'b' in an exponential function indicate?

Back

The base 'b' indicates the growth (b > 1) or decay (0 < b < 1) rate of the function.

Front

What is the y-intercept of the function f(x) = 3 * 2^x?

Back

The y-intercept is 3.

Front

How do you identify exponential growth from a graph?

Back

Exponential growth is identified by a curve that rises steeply as x increases.