Solve a few college algebra assignments, primarily based on functions, vertex, leading coefficients, intervals

MAC 1105

Exam 2 – Form 2 – Page 5 of 7

4. (4 points) Let f(x) = 4×4 -73° -233 +3.

(a) (2 points) What is the degree of f?

(b) (2 points) What is the leading coefficient of f?

5. (6 points) Use the following graph of y = f(x) to answer the questions,

(a) (2 points) What intervals of z is f(x) increasing?

(b) (2 points) What intervals of r is f(x) decreasing?

(c) (1 point) The local maximum at x =

(d) (1 point) The local minimum at =

MAC 1105

Exam 2 – Form 2 – Page 3 of 7

7. (4 points) Select the vertex of the parabola given by g(x) = 4.12 – 24x + 11.

a. (-3, 119)

b. (3,119)

c. (3,-25)

d. (-3,-25)

8. (4 points) A parabola has a vertex of (4.-6). Which of the following is the axis (line) of

symmetry?

a. Y = -6

b. y= 4

c. =4

d. = -6

Non-Multiple Choice Part: The following questions are not multiple choice. You will

not receive credit for answers with no work if work is required.

3r – 5

1. (4 points) Circle all answer choices for the vertical asymptotes of f(x) =

There

(x + 2)(x – 1)

may be more than one answer.

b. x=1

c. = -2

d. There are no vertical asymptotes.

MAC 1105

Exam 2 – Form 2 – Page 4 of 7

2. (3 points) Use the following piecewise function to evaluate.

(22 +7 if r < 2
f(x) = 7 if 2