Checkpoint #3

Front

What is the range of an exponential function of the form f(x) = a(b)^x where a > 0 and 0 < b < 1?

Back

The range is (0, ∞).

Front

What is the y-intercept of the function f(x) = a(b)^x?

Back

The y-intercept is (0, a).

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as x increases, f(x) decreases.

Front

What is the end behavior of an exponential function f(x) = a(b)^x where 0 < b < 1?

Back

The graph approaches zero on the left and infinity on the right.

Front

What is the end behavior of an exponential function f(x) = a(b)^x where b > 1?

Back

The graph approaches infinity on both ends.

Front

How do you determine the y-intercept of a function from its equation?

Back

Substitute x = 0 into the function and solve for f(0).

Front

What is the general form of an exponential function?

Back

f(x) = a(b)^x, where a is a constant and b is the base.

Front

What is the significance of the base 'b' in an exponential function?

Back

The base determines the growth or decay rate of the function.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when b > 1, while exponential decay occurs when 0 < b < 1.