Math quiz

UMUC © Math 107 – Fall 2019 OL1 Jules Kouatchou

QUIZ 3

INSTRUCTIONS

• This quiz covers Sections 1.6, 1.7, 2, 1, 2.2 and 2.5. • Please only use the Answer Sheet either to type your work or if you prefer to write your work and scan it. Be

sure to include your name in the document.

• Consult the Additional Information portion of the online Syllabus for options regarding the submission of

your quiz. If you have any questions, please contact me by e-mail (Jules.Kouatchou@faculty.umuc.edu) with

MATH 107 in the subject heading.

Consider the graph (below) of the function f(x). Answer Problems 1-2.

Problem 1: Determine the domain and the range of the function.

Problem 2: Use the graph to determine the intervals on which the function is increasing,

decreasing, and constant.

UMUC © Math 107 – Fall 2019 OL1 Jules Kouatchou

Problem 3: Determine algebraically whether the function is even, odd, or neither even nor odd.

𝒇(𝒙) = 𝟐𝒙𝟒 − 𝒙𝟐

Problem 4: Jules Pizza charges $13.25 plus $1.95 per topping for their large

14-inch pizza. Julia Pizza charges $14.70 plus $1.70 per topping for the same size pizza. For how many toppings will the two orders cost the same? Problem 5: Write the slope-intercept form of the equation of the line through the points (-

7,-4) and (7,3).

Problem 6: The point (1, 6) is on the graph of 𝑦 = 𝑓(𝑥). Find the corresponding point in the graph of 𝑦 = 3𝑓(𝑥 − 2). Problem 7: Jules can be paid in one of the two ways for doing yard work:

Plan A: $324 plus $10.75 per hour

Plan B: $25.25 per hour

What is the minimum number of hours for which Plan B is better for Jules?

Problem 8: Let A = (-7, 3) be a point. Find the point B that is symmetric to A with respect

to the origin.

Problem 9: Find the point-slope equation of the line with slope m=-3/8 and passing

through (5,6).

Problem 10: Before taxes, Jules earned $564 one week after working 30 hours at his regular

wage, 6 hours at time-and-a-half on Saturday, and 4 hours at double-time on Sunday. What is

Jules’ hourly wage?