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CanadaON
Grade 12

Solve applications involving cubic functions

Interactive practice questions

Consider the function $f\left(x\right)=x^3-7x^2+4x+12$f(x)=x37x2+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
1min

Consider the function $f\left(x\right)=x^4-7x^3+12x^2+4x-16$f(x)=x47x3+12x2+4x16.

Easy
1min

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.

Easy
6min

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.

Easy
6min
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Outcomes

12CT.B.3.2

Solve problems algebraically that involve polynomial functions and equations of degree no higher than four, including those arising from real-world applications

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