Characteristics of Exponential Functions

Front

What is the y-intercept (initial value) in the function f(x)=13(0.27)^x?

Back

The y-intercept is 13.

Front

In an exponential function, what does the 'a' represent?

Back

The 'a' represents the y-intercept.

Front

Is the equation f(x)=2(4)^x linear, exponential, or neither?

Back

The equation is exponential.

Front

What is the general form of an exponential function?

Back

The general form is f(x) = a(b)^x, where 'a' is the initial value 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.

Front

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

Back

The y-intercept is 2.

Front

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

Back

Changing the base 'b' affects the rate of growth or decay of the function.

Front

How do you determine if a function is exponential?

Back

A function is exponential if it can be expressed in the form f(x) = a(b)^x.

Front

What is the value of f(0) in the function f(x)=5(3)^x?

Back

f(0) = 5(3)^0 = 5.

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is all real numbers.