algebra quiz

1) 5 points. Solve the inequality x2 6x and write the solution set in interval notation.

(no explanation required

A. [6, )

B. (–, 6] [0, )

C. (–, 0] [6, )

D. [0, 6]

2) 5 points. Solve 0 and write the solution set in interval notation. 2. ______

(no explanation required)

A. (–5, –2] (1, )

B. (–, –5) [–2, 1)

C. (–,–2]

D. (–5, 1)

3) 5 points. For f (x) = x3 – 2x – 1, use the Intermediate Value Theorem to determine which interval must contain a zero of f. (no explanation required) 3. _______

A. Between 0 and 1

B. Between 1 and 2

C. Between 2 and 3

D. Between 3 and 4

4) 5 points. Translate this sentence about surface area into a mathematical equation.

The surface area A of a sphere is directly proportional to the square of the length r of its radius.

5) 10 points. Look at the graph of the quadratic function and complete the table. [ No explanations required.]

6) 15 points. Let

When factored,

(a) State the domain.

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

Answer: ________

(c) State the real zeros:

(d) State the y-intercept:

(e) State which graph below is the graph of P(x).

GRAPH A. (below) GRAPH B. (below)

GRAPH C. (below) GRAPH D. (below)