Precalculus I--Part 4--Test 7

Precalculus Practice Exam

Part 4 Test 7 Time: 2 hours

- Express the angle in radians.
- Express 546.954 radians in format.
For the function , determine the:
- (h) amplitude,
- (i) period,
- (j) vertical shift,
- (k) phase shift,
- (l) domain,
- (m) range.
- (n) Can f(t)=-2? Explain.
Simplify each expression:
- .
- .
Given that and , find the remaining five trigonometric functions of the angle .
Find if . Restrict domain if necessary.
Find the inverse of the following function(restrict the domain if necessary):
If you invested $1,000 for 4 years as follows:
- Years 1 and 2 compounded weekly at 11%,
- Years 3 and 4 continuously at 13%,
- What simple interest rate would give you the same balance as the above after four years?
Find a polynomial function that passes through the point (3,24), has a double zero of 3 and zeros 1 and -1
- Of degree 3.
- Of degree 4.
- Of degree 6.
Solve for x:
Find the quadratic function whose graph contains the points (1,-2),(2,1) and (-1,10).
Suppose you are given a polynomial function of degree four with a relative maximum of 10 located at x=0, a relative maximum of 22 located at x=10, and a relative maximum of -5 located at x=4. On what interval(s) is the function:
- Increasing?
- Decreasing?
- Give two intervals where at least one of the zeros of the polynomial exists.

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Fri Nov 21 14:30:33 MST 1997