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CanadaON
Grade 12

Identify Characteristics of Cubic Functions

Interactive practice questions

By considering the graph of $y=x^3$y=x3, determine the following:

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a

As $x$x becomes larger in the positive direction (ie $x$x approaches infinity), what happens to the corresponding $y$y-values?

they approach zero

A

they become very large in the positive direction

B

they become very large in the negative direction

C
b

As $x$x becomes larger in the negative direction (ie $x$x approaches negative infinity), what happens to the corresponding $y$y-values?

they become very large in the positive direction

A

they approach zero

B

they become very large in the negative direction

C
Easy
< 1min

Does the graphed function have an even or odd power?

Easy
< 1min

Does the graphed function have an even or odd power?

Easy
< 1min

Consider the given graph of a cubic function.

Easy
1min
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Outcomes

12F.C.1.9

Determine, through investigation, and compare the properties of even and odd polynomial functions [e.g., symmetry about the y-axis or the origin; the power of each term; the number of x-intercepts; f(x) = f(– x) or f(– x) = – f (x)], and determine whether a given polynomial function is even, odd, or neither

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