IXL - Domain and range of exponential functions: graphs (Algebra 1 practice)

What is the domain of this exponential function?

{

}

{

≤

}

{

}

{

≥

}

all real numbers

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question

What is the domain of this exponential function?

all real numbers

{

}

{

≤

}

{

}

{

≥

}

key idea

The domain of a function is the set of all possible
x
-values.
The range of a function is the set of all possible
y
-values.

For the exponential function

–

The domain is all real numbers.
The range is either
{
y
|
y
>
k
},
which is all numbers above the horizontal asymptote
y
=
k
,
or
{
y
|
y
<
k
},
which is all numbers below the asymptote.

solution

The domain of this exponential function is all real

numbers,

since that is the domain of all exponential functions. This is true because an exponential equation can be evaluated for all values of

Looking for more? Try these:

Lesson: Domain and range

Lesson: Exponential functions

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Not feeling ready yet? These can help:

M.2Domain and range of relations

V.4Match exponential functions and graphs II

G.2Set-builder notation

Lesson: Domain and range

Lesson: Exponential functions

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