Let and let .

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let

f(x)=x^{3}-2x

and let

h(x)=-f(x)

. (i) Find

f(1)

and

h(1)

. (ii) Find

f(-2)

and

h(-2)

. (iii) State the relationship between the

y

-coordinates of corresponding points on the graphs of

y=f(x)

and

y=h(x)

. Assume the same

x

-value in each case.