Quiz 5

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The quiz is worth 100 points. Each problem is worth 5 points.

FOR #1 THROUGH #4, SOLVE THE GIVEN EQUATION.

1. Solve | x | = 8.

2. Solve | x | = -8.

3. Solve | 7x – 4 | = 8

4. Solve | 7x – 4 | - 2 = 6

5. Solve | x | < 10, and graph the solution set.

6. Solve , and graph the solution set.

7. Solve | x2 – 7x + 12 | > -4

8. Solve | x + 2 | < -1

9. Consider the polynomial P(x), shown in both standard form and factored form.

(a) Which sketch illustrates the end behavior of the polynomial function?

(b) State the y-intercept.

(c) State the zeros of the function.

(d) State which graph below is the graph of the function.

A.

B.

C.

D.

10. Find the zeros of f(x) = 3x3 + x2 – 12x – 4

11. Find the zeros of f(x) = (x – 4)5 and determine the multiplicity of each

zero.

12. For each equation, please determine the leading term, the leading coefficient and the degree of the polynomial. Then, classify the polynomial function as constant, linear, quadratic, cubic, or quartic.

(a) f(x) = -5

(b) f(x) = -5x2 + 4x3 – 10x4

(c) f(x) = 2 – x3

13. For f(x) = x10 – 2x5 + 4x – 2, please state the maximum number of real

zeros that it can have, the maximum number of x-intercepts that the graph

of the function can have, and the maximum number of turning points that the

graph of the function can have.

14. Using the intermediate value theorem, determine, if possible, whether

f(x) = 2x5 – 7x + 1 has at least one real zero between 1 and 2.

15. (a) Find the vertical and horizontal asymptote(s) of

(a) Based on your answer in (a), this means that as

x approaches infinity, then f( x ) approaches

which number?

16. Find the horizontal asymptote(s) of

17. Determine the oblique asymptote of .

18. The function gives the body concentration N(t), in

parts per million, of a certain dosage of medication after time t, in hours.

a) Find the horizontal asymptote of the graph and replace the ?? with an appropriate number: