KING FAHD UNIVERSITY OF PETROLUEM AND MINERALS

Faculty of Sciences Prep Year math program

Math 001 - Term 031

Question1

Given .

a) Find the vertex

b) Find the equation of the axis of symmetry .

c) Find the range of

d) Sketch the graph of . ( Show the axis of symmetry , -intercept(s),and

-intercept(s) ).

e) Determine the interval in which is increasing .

f) Determine the interval in which is decreasing .

Question2

Identify if the function is an even function, an odd function,

or neither . Justify your answer.

Question3

Study the symmetry (about -axis , -axis , and the origin) for the equation :

..

Question4

Use the graph of to sketch the graph of : (3 marks)

1) 2)

Question5

Find the difference quotient of

1) .

2)

Question6

i) Let and .Find

ii) Let find

Question7

If and .

Question8

Let where a, b are constants. If , find a and b.