Graphing Exponential Functions

Front

What is the base of a decreasing exponential function?

Back

The base is between 0 and 1.

Front

What defines exponential growth in terms of the base (B)?

Back

B is greater than 1.

Front

What defines exponential decay in terms of the base (B)?

Back

B is greater than 0 but less than 1.

Front

Which function represents an increasing exponential function with a y-intercept of 50?

Back

y = 50(1.4)^x.

Front

What is the general form of an exponential function?

Back

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

Front

What happens to the graph of an exponential function as x approaches infinity when the base is greater than 1?

Back

The graph increases without bound.

Front

What happens to the graph of an exponential function as x approaches infinity when the base is between 0 and 1?

Back

The graph approaches 0.

Front

How does the y-intercept affect the graph of an exponential function?

Back

The y-intercept determines the starting point of the graph on the y-axis.

Front

What is the effect of changing the base of an exponential function?

Back

Changing the base affects the rate of growth or decay.

Front

What is the value of an exponential function at x=0?

Back

y = a(b)^0 = a, since any number to the power of 0 is 1.