Everything Maths Grade 10

26.Given the following graph, identify a function that matches each of the given equations

 5  4  3  2  1 1 2 3 4 5

 5

 4

 3

 2

 1

1

2

3

4

5 g(x)

f(x)

k(x)

h(x)

x

y

a) y= 2

(

1

2

)x

b) y=3,2x c) y= 2 x d)y= 3x

27.Use the functionsf(x) = 3x; g(x) = 2x^2 4;h(x) = 3x4;k(x) =

3

2 x

 1 ;to find the value of the

following:

a) f(7) b) g(1) c) h(4) d)k(5)

e) f(1) +h(3) f) h(g(2)) g)k(f(6))

28.Determine whether the following statements are true or false. If the statement is false, give reasons why.

a)The given or choseny-value is known as the independent variable.

b)A graph is said to be continuous if there are breaks in the graph.

c)Functions of the formy=ax+qare straight lines.

d)Functions of the formy=ax+qare exponential functions.

e)An asymptote is a straight line which a graph will intersect at least once.

f)Given a function of the formy=ax+q, to find they-intercept letx= 0and solve fory.

29.Given the functionsf(x) = 2x^2 6 andg(x) = 2 x+ 6.

a)Drawfandgon the same set of axes.

b)Calculate the points of intersection offandg.

c)Use your graphs and the points of intersection to solve forxwhen:

i.f(x)> 0

ii.g(x)< 0

iii.f(x)g(x)

d)Give the equation of the reflection offin thex-axis.

Chapter 6. Functions 221