Exponential Functions Review

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is all real numbers, represented as D: All Real #'s.

Front

What is the range of an exponential function?

Back

The range of an exponential function is typically y > 0, meaning it only takes positive values.

Front

What does the graph of an exponential function look like?

Back

The graph of an exponential function increases rapidly and approaches the x-axis (y=0) but never touches it.

Tags

CCSS.HSF-IF.C.7E

Front

What is an asymptote in the context of exponential functions?

Back

An asymptote is a line that the graph approaches but never touches. For exponential functions, the horizontal asymptote is often y = 0.

Tags

CCSS.HSF-IF.C.7E

Front

How do you identify the y-intercept of an exponential function?

Back

The y-intercept of an exponential function f(x) = a(b^x) is found by evaluating f(0), which equals a.

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 growth rate: a larger base results in a steeper increase.

Tags

CCSS.HSF-IF.C.7E

Front

What is the difference between exponential growth and decay?

Back

Exponential growth occurs when the base is greater than 1, while exponential decay occurs when the base is between 0 and 1.

Tags

CCSS.HSF-IF.C.8B

Front

How do you find the horizontal asymptote of an exponential function?

Back

The horizontal asymptote of an exponential function is typically y = 0.

Tags

CCSS.HSF-IF.C.7E

Front

What is the general form of an exponential function?

Back

The general form of an exponential function is f(x) = a(b^x), where a is a constant and b is the base.

Front

What does the term 'exponential growth' mean?

Back

Exponential growth refers to an increase that occurs at a rate proportional to the value of the function, leading to rapid increases.

Tags

CCSS.HSF-IF.C.8B