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

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.