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.