Practice Exam I Math002
Q1. Given 
.
a) Find x-intercept and y-intercept.
b) Graph f(x).
c) Find the domain and the range of f.
d) Find an equation of the asymptote of the graph of f.
Q2. If 
, then write 
in terms of x and y.
Q3. Find the solution set of 
.
Q4. Solve 
Q5. Solve 
Q6. a) Find the measure of the complement of
the angle 
.
b) Find the length of an arc that subtends
a central angle of 
in a circle
of radius 10 cm.
Q7. A car with a wheel of radius 13 inches is moving with a speed of 50 mph. Find the angular speed of the wheel in radian per minute.
Q8. Find the exact value of each expression
a) 
b) 
Q9. A 8 – foot ladder
is resting against a wall and makes an angle of 
with the ground. Find
the height to which the ladder will reach on the wall.
Q9. a) Is
the function 
even, odd, or neither?
b)
Write 
in terms of a single
trigonometric function.
c) If 
.
Q10. Given
.
a) Graph f.
b) Find period and amplitude of the graph of f.
c) Find the range of f.