Pre Cal Trig practice test and study guide
Name _______________________
1.
Which 2 functions are continuous across the domain?
2. Which 2 functions have a shorter period?
3. Which functions are undefined when sin x = 0?
4. Which functions are undefined when cos x = 0?
5. The graph of tangent is broken at the ___________ values. These infinite discontinuities are called
____________________.
6. Graphically the discontinuities across the domain can be represented with a vertical dashed line. They are
known as vertical _________________________.
7. The parent ____________ function is like a mountain, crossing at ___ on the y-axis.
8. The period of sine and cosine is _______ degrees.
9. The frequency of a function is the reciprocal of its ___________.
10. A parent function is the original basic function with no _____________________.
11. The range of the parent sine and cosine function are the same. Write the range in interval form.
12. The range of tangent and cotangent are the same. Write the range in interval form.
13. What is the amplitude of the parent sine function?
14. What is the period of the parent sine function?
15. A buoy floats in an average depth of 45 feet of water. The waves go up and down a complete pattern every 3
seconds. The height of most waves from the equilibrium point is 1.5 feet. Write a sine equation that models the
depth of the water under the buoy.
16. A boat floats on the water and is anchored by a dock. The tide comes in and the water depth under the boat
reaches a maximum of 29 feet. The tide goes out and reaches its lowest point when the boat is floating on 15
feet of water. The period of the cycle takes 22 hours. Write a sine equation that models the depth of the water
under the boat.