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Function part 2

Total questions: 10

Worksheet time: 28mins

Name
Class
Date
1.

A function is defined by h(x)=6x-5.

Find the image of object 2

Suatu fungsi diberi sebagai h(x) = 6x - 5

Cari imej bagi objek 2

(a)  

2.

Find the composite function fg based on the function f and g given.



Cari fungsi gubahan fg berdasarkan fungsi f dan g yang diberi

 f(x)=x24x+3f\left(x\right)=x^2-4x+3  

 g(x)=5xg\left(x\right)=-5x  

a)

 25x2+20x+325x^2+20x+3  

b)

 25x2+20x+3-25x^2+20x+3  

c)

 25x220x+325x^2-20x+3  

d)

 25x2+20x325x^2+20x-3  

3.

Given f(x) = 2x+1

find the value of x if f(x) is mapping into itself.

a)

3

b)

2

c)

-1

d)

-4

4.

A function is defined by h(x)=6x-5.

Find the object which maps onto itself.

(a)  

5.
f(x)=2x+1
If f(x)=4, what is the value of x?
a)
3/2
b)
2
c)
1/2
d)
4
6.

 Given that  k(x)=3xx2, xmk\left(x\right)=\frac{3x}{x-2},\ x\ne m  , 

find the value of m


a)

-2

b)

3

c)

2

d)

-3

7.

Determine wheteher the following graphs is a function.

a)

A Function. When tested with a vertical line, the line cuts the graph at the one point.

b)

A Function. When tested with a vertical line, the line cuts the graph at the two points.

c)

Not a function. When tested with a vertical line, the line cuts the graph at the one point.

d)

Not a function. When tested with a vertical line, the line cuts the graph at the two points.

8.

Find  f2f^2   based on the function f given.



 f(x)=7x8f\left(x\right)=7x-8  



(a)  

9.

State the range of the following

a)

{2, 3, 4, 5} \left\{2,\ 3,\ 4,\ 5\right\}\

b)

{12, 13, 14, 15, 0}\left\{\frac{1}{2},\ \frac{1}{3},\ \frac{1}{4},\ \frac{1}{5},\ 0\right\}

c)

{12, 13, 14, 15}\left\{\frac{1}{2},\ \frac{1}{3},\ \frac{1}{4},\ \frac{1}{5}\right\}

d)

{0}\left\{0\right\}

10.

State the range of the following

a)

0x30\le x\le3

b)

0f(x)40\le f\left(x\right)\le4

c)

0f(x)30\le f\left(x\right)\le3

d)

0x40\le x\le4