mathWHIZ

A few of the questions have multiple choice answers. Make sure to pay attention.

1. Determine the slope of the line through the points (9, –2) and (7, 2).

2. Write a slope-intercept equation for a line with slope ¼ which passes through the point (6, –3).

3. Find the midpoint of the segment with endpoints (–5, 6) and (–6, 4).

4. Determine whether the graph of y = | x | + 3 is symmetric with respect to the origin, the x-axis, or the y-axis.

5. Find the domain of the function .

6. Determine the domain and range of the piecewise function.

7. Find the exact solutions: 5x2 – 2x + 2 = 0

8. Given f (x) = 3x + 8 and g(x) = 2x2– 4, find the composite function (f(g(x)) and simplify

9. For the graph of the function f (x) = x2 + 4x + 5, find the vertex.

10. Solve and express the answer in interval notation: | 9 – x | ≥ 5.

11. Solve:

12. Find all vertical asymptotes for the rational function

13. Find all of the zeros of the polynomial 3x3 + x2 – 3x – 1.

14. Solve:

15. Solve, and write the answer in interval notation:

16. Given the function f(x) = 5x – 4, find an equation for the inverse function.

17. Which of the following describes the end behavior of the graph of the function

f(x) = 5x2 – x4 + x + 7?

18. Determine the interval(s) on which the function is increasing.

19. Which of the functions corresponds to the graph?