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4.10 Sketching polynomials

Interactive practice questions

The graph of the function $y=f\left(x\right)$y=f(x) is shown below.

Loading Graph...

a

What are the $x$x-values of the $x$x-intercepts of the graph?

Enter each $x$x-value on the same line, separated by a comma.

b

What is the $y$y-value of the $y$y-intercept of the graph?

c

What is the behaviour of the function as $x\to\infty$x?

Increasing.

A

Decreasing

B
d

What is the behaviour of the function as $x\to-\infty$x?

Decreasing

A

Increasing

B
Easy
1min

The graph of the function $y=f\left(x\right)$y=f(x) is shown below.

Easy
< 1min

The graph of the function $y=f\left(x\right)$y=f(x) is shown below.

Easy
1min

The graph of the function $y=f\left(x\right)$y=f(x) is shown below.

Easy
1min
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Outcomes

VCMNA361 (10a)

Apply understanding of polynomials to sketch a range of curves and describe the features of these curves from their equation.

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