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1.5B Polynomial functions and complex zeros

Interactive practice questions

Consider the curve $y=-\left(x-1\right)^2\left(x^2-9\right)$y=(x1)2(x29).

a

Find the $x$x value(s) of the $x$x-intercept(s).

b

Now find the $y$y value(s) of the $y$y-intercept(s).

c

Determine whether the graph has $y$y-axis symmetry, origin symmetry, or neither:

Origin symmetry

A

Neither

B

$y$y-axis symmetry

C
d

Plot the graph of the curve.

Remember that for a curve of degree $n$n, we need $n+1$n+1 unique points.

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Medium
4min

Consider the function $y=x^4-x^2$y=x4x2

Medium
1min

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

Medium
< 1min

Consider the ordered pairs in the table. Is $f\left(x\right)$f(x) even, odd or neither?

Medium
< 1min
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Outcomes

1.5.B

Determine if a polynomial function is even or odd.

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