Everything Maths Grade 10

48.y= 2xandy= 2 xare sketched below. Answer the questions that follow.

0

M

N

P

Q

R x

y

a)Calculate the coordinates ofMandN.

b)Calculate the length ofM N.

c)Calculate the length ofP QifOR=1 unit.

d)Give the equation ofy= 2xreflected about they-axis.

e)Give the range of both graphs.

49.Plot the following functions on the same set of axes and clearly label all points of intersection.

a)

y= 2 x^2 + 3

y= 2x+ 4

b)

y=x^2  4

y= 3x

50.f(x) = 4xandg(x) = 4 x^2 +qare sketched below. The pointsA(0; 1)andB(1; 4)are given. Answer
the questions that follow.

0

A

B

C

g(x)= 4 x^2 +q

f(x)=4x

x

y

a)Determine the value ofq.

b)Calculate the length ofBC.

c)Give the equation off(x)reflected about thex-axis.

d)Give the equation off(x)shifted vertically upwards by 1 unit.

e)Give the equation of the asymptote off(x).

f)Give the ranges off(x)andg(x).

230 6.8. Chapter summary