math

Fall 2019 MATH 115 Quiz 1 To Earn Credit Show All Work

1. 2 pts. Multiple choice. Determine which function f(x) has a domain of (-1,∞).

A.

B.

C.

D.

2. 8 pts. Use the function f(x) = -3x 2 – 18x + 2 to find the following. Your answers should be exact

values.

A. Find f(0).

B. Solve f(x) = 2.

C. Find and simplify the difference quotient

for the function.

6 pts. 3. Use exact values and interval notation in your answers. Consider the piecewise defined

function:

A. Graph the function.

B. Find the domain of the function. Write your answer in interval notation.

C. Find the range of the function. Write your answer in interval notation.

D. Solve f(x) = 4.

2 pts. 4. Simplify by performing the indicated operations. Give an exact answer (not a decimal

approximation.)

12 pts. 5. Use exact values in your answers. Consider the graph of the function f(x):

1 pt. A. Find the domain. Use interval notation.

1 pt. B. Find the range. Use interval notation.

2 pts. C. Solve f(x) = 1

1 pt. D. Find the x intercept(s).

1 pt. E. Is f(x) even, odd, or neither?

2 pts. F. Determine where f(x) is decreasing. Use interval notation for your answer.

4 pts. G. Graph y = -2f(x + 4) + 3. You can sketch on the graph above or create a new graph. If you make

a new graph, be sure to clearly label your axes with the scale used.