IXL - Match cubic functions and graphs (Algebra 1 practice)

Match each polynomial function to its graph.

(

)

–

(

)

–

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Learn with an example

question

Match each polynomial function to its graph.

(

)

192

513

(

)

–

key idea

The graph of the cubic function

has one of three shapes:

If the leading coefficient is positive

(

the graph increases as

∞. If it is negative

(

the graph decreases as

∞.

solution

First, classify each polynomial by its type.

Function	Type
f ( x ) = x 3 + 24 x 2 + 192 x + 513	Cubic
g ( x ) = – x 3 + 11 x 2 – 34 x + 26	Cubic

The functions are both cubic. To determine which function describes which graph, look at their leading coefficients.

(

)

192

513

(

)

–

The leading coefficient of

(

)

is positive, so its graph increases as

∞.

The leading coefficient of

(

)

is negative, so its graph decreases as

∞.

Match

(

)

and

(

)

to their graphs.

(

)

192

513

(

)

–

$Confetti$

Excellent!

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