Mini Exam #1 Review Questions Name _____________________
I. Definitions
1. What special property makes a relation a function?
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2. Complete the following definition of an inverse function :
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3. Write the general equation for a sinusoidal function.
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II. Sketch the graphs of each of the following:
4. y = tan(x)
5.
6.
7.
III. Different kinds of functions have different properties.
8. State the Pythagorean property for sines and cosines (a trig identity).
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9. State the double angle property for cos(x).
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10. State the Quadratic formula.
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IV. Proofs are essential in mathematics.
11. Prove:
V. The word inverse is important in mathematics.
12. Determine the multiplicative inverse of 7. _________________________
13. Determine the inverse function of y = 3x + 12 ______________________
14. Determine the inverse secant of -2. ______________________________
VI. Miscellaneous Multiple choice Questions
_____ 16. Which of the following statements is true?
_____ 19. If a, b, and c represent the sides of a triangle, and h is the altitude to side b,
not find the area of the
triangle?
_____ 22. What is the domain of the function f given by ?
V. Short Answer Questions
24. Transform the following parametric equations to a Cartesian equation by eliminating
the parameter.
x = 5 cos(t)
y = 5 sin(t)
25. Determine the constant k and the resulting quadratic factor of
if x 3 is a linear factor.
26. Find the equation of all lines parallel to 5x 3y + 4 = 0.
27. Find the real number k for which the solution set of is the open
interval .
28. Determine the solution of .
29. If