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

What is the range of this quadratic function?

{

≤

}

{

≤

}

{

≥

}

all real numbers

ref_doc_title.

Learn with an example

question

What is the range of this quadratic function?

{

≤

–

}

{

≥

–

}

{

–

≤

–

}

all real numbers

key idea

The range of a function is the set of all

-values

that are outputs of the function.

solution

The highest point on the function's graph is its vertex,

(

–

)

and the arrows indicate that the graph continues downward without bound. So, every

-value

less than or equal to

–

corresponds to at least one point on the function's graph.

That means every real number less than or equal to

–

is an output of the function. So, written in set-builder notation, the range of the function is

{

≤

–

}

Looking for more? Try these:

Lesson: Domain and range

Lesson: Quadratic functions

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Teacher tools

Work it out

Not feeling ready yet? These can help:

M.2Domain and range of relations

Y.1Characteristics of quadratic functions: graphs

G.2Set-builder notation

Lesson: Domain and range

Lesson: Quadratic functions

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