Hong Kong

Stage 4 - Stage 5

Consider the function $f\left(x\right)=x^3-7x^2+4x+12$`f`(`x`)=`x`3−7`x`2+4`x`+12.

a

Is $6$6 a zero of the function?

Yes

A

No

B

b

Is $-1$−1 a zero of the function?

Yes

A

No

B

c

Is $3$3 a zero of the function?

Yes

A

No

B

Easy

Approx a minute

Consider the function $f\left(x\right)=x^4-7x^3+12x^2+4x-16$`f`(`x`)=`x`4−7`x`3+12`x`2+4`x`−16.

The mass in kilograms of a cubic container of water is given by $M=0.001r^3$`M`=0.001`r`3 where $r$`r` is the side length of the cube shaped container in centimetres.

The volume of a sphere has the formula $V=\frac{4}{3}\pi r^3$`V`=43π`r`3. The graph relating $r$`r` and $V$`V` is shown.

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