Hong Kong
Stage 4 - Stage 5
Solve applications involving cubic functions
Interactive practice questions
Consider the function $f\left(x\right)=x^3-7x^2+4x+12$f(x)=x3−7x2+4x+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)=x4−7x3+12x2+4x−16.
The mass in kilograms of a cubic container of water is given by $M=0.001r^3$M=0.001r3 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=43πr3. The graph relating $r$r and $V$V is shown.
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