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.

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

The 'a' represents the y-intercept.

Tags

CCSS.HSF.LE.B.5

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.

Tags

CCSS.HSF.LE.A.2

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.

Tags

CCSS.HSF-IF.C.8B

Front

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

Back

The y-intercept is 2.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF.IF.A.2

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is all real numbers.