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iGCSE (2021 Edition)

5.06 Sketching polynomials

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

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

they become very large in the positive direction

A

they approach zero

B

they become very large in the negative direction

C
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Does the graphed function have an even or odd power?

Consider the graph of the function $y=x^3$y=x3.

Fill in the gaps to complete the statement.

Consider the cubic function $y=-x^3$y=x3

Outcomes

0606C3.4

Sketch the graphs of cubic polynomials and their moduli, when given in factorised form y = k(x – a)(x – b)(x – c).

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