Everything Maths Grade 10

a)Calculate the coordinates ofA,BandC.

b)Describe in words what happens at pointD.

c)Calculate the coordinates ofD.

d)Determine the equation of the straight line that would pass through pointsCandD.

55.The diagram shows the graphs off() = 3sinandg() =tan

90 ◦ 180 ◦ 270 ◦ 360 ◦

 3

3

0

f

g



y

a)Give the domain ofg.

b)What is the amplitude off?

c)Determine for which values of:

i.f() = 0 =g()

ii.f()g()< 0

iii. gf(())> 0

iv.f()is increasing

56.Determine the equations for the graphs given below.

a)

 5  4  3  2  1 1 2 3 4 5

 8

 6

 4

 2

2

4

6

8

10

12

(1;2)

(3; 6)

x

y

232 6.8. Chapter summary