IXL - Domain and range (Precalculus practice)

What is the range of this function?

{

–

}

{

≤

}

{

≤

–

}

{

}

ref_doc_title.

Learn with an example

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

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Teacher tools

Work it out

Not feeling ready yet? These can help:

H.1Domain and range of absolute value functions: graphs

J.1Domain and range of logarithmic functions

L.3Domain and range of radical functions

H.2Domain and range of absolute value functions: equations

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