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1.4 Polynomial functions and rates of change

Interactive practice questions

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

a

Determine the leading coefficient of the polynomial function.

b

Is the degree of the polynomial odd or even?

odd

A

even

B
c

Which of the following is true of the graph of the function?

It rises to the left and rises to the right

A

It rises to the left and falls to the right

B

It falls to the left and rises to the right

C

It falls to the left and falls to the right

D
d

Which of the following is the graph of $y=x^4-x^2$y=x4x2?

Loading Graph...

A

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B

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C

Loading Graph...

D
Medium
1min

Consider the curve $y=\left(x-2\right)^2\left(x+5\right)$y=(x2)2(x+5).

Medium
3min

Consider the curve $y=\left(x-2\right)^2\left(x+3\right)\left(x-1\right)$y=(x2)2(x+3)(x1).

Medium
3min

Consider the curve $y=-\left(x-3\right)^2\left(x+1\right)\left(x-2\right)$y=(x3)2(x+1)(x2).

Medium
3min
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Outcomes

1.4.A

Identify key characteristics of polynomial functions related to rates of change.

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