IXL - Domain and range of polynomials (Algebra 2 practice)

This is the graph of a polynomial function. There is no absolute minimum or maximum.

Find the domain and range.

(-∞, 5]

(-∞, ∞)

[-8, ∞)

(-∞, ∞)

Domain:

Range:

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question

This is the graph of a polynomial function. There is no absolute minimum or maximum.

Find the domain and range.

(-∞, ∞)

[5, ∞)

(-∞, ∞)

(-∞, -6]

Domain:

Range:

key idea

The domain of a function is the set of all

-values

that can be inputs of the function.

The range of a function is the set of all

-values

that are outputs of the function.

Interval notation can be used to describe sets of real numbers.

The symbols [ and ] are used to indicate that an endpoint is included.
The symbols ( and ) are used to indicate that an endpoint is not included.
The symbols for positive infinity, ∞, and negative infinity,
–
∞
, are used to show that a set continues forever in one direction or the other.

For example, the interval

(

–

]

is the same as

–

≤

and the interval

[

∞

)

is the same as

≥

solution

Find the domain.

Every

-value

is a valid input for a polynomial function. The arrows on the polynomial function mean that it continues on forever for all

-values.

So, the domain is the set of all real numbers, which is written

(

–

∞

)

Find the range.

Every

-value

is an output of this polynomial function.

The arrows on the polynomial function point in opposite directions. This means that the function continues on forever, hitting all

-values.

So, the range is also the set of all real numbers, which is written

(

–

∞

)

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Not feeling ready yet? These can help:

Q.11Match polynomials and graphs

N.8Domain and range of quadratic functions: graphs

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