Quiz 2

Quiz-21.docx

MATH 107 6987, Fall 2020

UMUC

Quiz-2

Show your work in detail on all problems to get full credit. Submit the completed quiz in the Assignments folder.

Total Points: 100

1. a. Find the midpoint of the segment with endpoints (5, –2) and (7, 4).

b. The point (4, –1) is on a circle with center (7, 3). Find the length of radius of the circle.

2. Simplify:

3. a. Find an equation of the line containing the point (-1, 3) and parallel to the line x + 2y = -6.

b. Find the slope of the line through the points (8, 1) and (7, 3).

5. Find the domain of the functions:

6. a. For the graph of the function f (x) = x2 – 5x + 6, find the vertex and the axis of symmetry.

b. One number is 2 more than another. The product of the numbers is 35.

Find the numbers.

7. A salesperson earns a base salary of $2,000 per month and a commission

of 5% on the amount of sales made. If the salesperson has a paycheck of

$3,006 for one month, what was the amount of sales for the month?

8. a. For x values in what interval (s) is the function decreasing?

$C:\Users\RGUHA1\Desktop\MATH107Fall15RoyOL4.jpg$

b. Determine whether the graph of y = 7 + |x| is symmetric with respect to

x-axis, y-axis, or the origin.

9. a. Find the zero of the function f(x) = 8 – 2x – x2

b. Write the equation for a function that has a graph with the given

properties.

The shape of y = |x| but stretched vertically by a factor of 2 and shifted right 3 units.

10. Find k so that the line containing the points (-3,k) and (4,8) is parallel to the line containing the points (5,3) and (1, -6).

f(x)