1. How can we determine if a quadratic function has a max or min?
2. Explain the process for finding the equation if a linear function when only two points on the line are given.
3. The value of a personal computer depreciates linearly from $2400 to $400 after 5 years. Express
the value V of the computer as a function of its age x in years.
4. Given the quadratic function f(x) = -2x2+ 7x + 3 find:
5. Explain the factor theorem for polynomial functions.
6. Determine if (-1) is a factor of the polynomial function x3 + 6x2 + 6x + 1 using synthetic division. If
the number is not a factor, what does the remainder indicate?
7. Why doesn’t the graph of f(x) = abx have an x-intercept?
8. What point (on the graph) do all exponential graphs pass through, and why?
9. Find the value of an account after 8 years if a sum o $10,000.00 is deposited in the account at a rate
10. What is the end behavior of a down-opening parabola?
11. Find the remaining 5 trigonometric functions of an angle with a sine of -5/13.
12. What Quadrant? sin ϴ < 0, cosϴ < 0 tan ϴ < 0 sec ϴ > 0
13. Find all the factors of x for f(x) = x3 – 1
14. Use the quadratic formula to find the zeros of the function: f(x) = x2 + 5x – 3
15. i 423 =
16. What is a ‘local’ max or min in a polynomial function?
17. What is the domain of an exponential function? The range? Explain the various options
18. What is the equation of a circle with its center at the origin in a graph?
19. Convert 740 8’ 14” to decimal degrees
20. Find all six trig functions for an angle with a cotϴ = -1.49586
21. What is the reference for an angle of 1232 degrees?
22. Freddy needs to know the height of a tree. From a given point on the ground he finds the angle of
elevation to the top of the tree is 36 degrees. He then moves back 50 feet. From the second point,
the angle of elevation to the top of the tree is 22.5 degrees. How tall is the tree?
23. A real estate agent wants to know the perimeter of a triangular lot at the edge of a cliff. A surveyor
takes measurements and finds that two sides are 51.2 meters and 21.3 meters. The angle between
them is 42.2 degrees. What is the perimeter of the lot?
24. The maximum value of the sine function is?
25. If f(x) = -4cos 2x - 3π/2 + 7, find
26. Find all values of the angle: 2sinx – 1 = 0 on the interval 0 < x < 360 degrees.
27. How do you shift from rectangular to polar coordinates?
28. Change to polar coordinates (4,6)
29. Transfer from polar to rectangular coordinates, (4, π)
30. Three forces act on an object. One is 45 N at an angle of 34 degrees, a second force of 60 N acts at
an angle of 90 degrees. A third force of 100 N acts at an angle of 180 degrees. What counterforce,
acting at what angle, would balance these forces?
