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CanadaON
Grade 12

Odd and Even Functions

Interactive practice questions

Consider the graph below.

Loading Graph...

a

Find the value of $y$y when $x=4$x=4.

b

Find the value of $y$y when $x=-4$x=4.

c

How can the part of the graph for $x<0$x<0 be obtained by the part of the graph for $x>0$x>0?

rotating $180^\circ$180° about the origin

A

reflecting across the line $y=x$y=x

B

reflecting across the $x$x-axis

C

reflecting across the $y$y axis

D
d

Determine whether the function is odd, even or neither.

odd

A

neither

B

even

C
Easy
1min

Is the following graph of a function odd, even or neither?

Easy
< 1min

Is the following graph of a function odd, even or neither?

Easy
< 1min

Is the following graph of a function odd, even or neither?

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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