Graphing Exponential Functions

Front

What is the base of a decreasing exponential function?

Back

The base is between 0 and 1.

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

B is greater than 1.

Tags

CCSS.HSF-IF.C.8B

Front

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

Back

B is greater than 0 but less than 1.

Tags

CCSS.HSF-IF.C.8B

Front

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

Back

y = 50(1.4)^x.

Tags

CCSS.HSF.LE.A.2

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.

Tags

CCSS.HSF.LE.A.2

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.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

Changing the base affects the rate of growth or decay.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF-IF.C.8B