Unit 3 algebra
UMGC © Jules Kouatchou Fall 2020
•This assigment covers Sections 1.6, 1.7, 2.1, 2.2, 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.
Consider the graph of a function y = f(x):
Solve Problems 1 & 2:
Problem 1: Use the graph to determine the intervals on which the function is increasing, decreasing, and constant.
Problem 2: Find the maximum, if it exists.
Problem 3: The point (3, 7) is on the graph of ???? = ????(????). Find the corresponding point in the graph of:
UMGC © Jules Kouatchou Fall 2020
????(????) = 1 ????(7????) − 6. 7
Problem 4: A father left 1⁄2 of his estate to his daughter, 1/3 of his estate to his grandson, and the remaining $45,000 to charity. What was his total estate?
Problem 5: Find the equation of the line that contains the point (-7, 6) and is perpendicular to the line ???? = 2.
Problem 6: Determine algebraically whether the function is even, odd, or neither even nor odd.
????(????) = −???????????? +???????????? −????
Problem7:Solve: |1−2????|+4=9. 23
Problem 8: Find the equation of the line going through the points (-7, 6) and (-1, 3). Jules has two jobs: one pays $11.25/hour, and the other pays
$9.50/hour plus 60% of the hourly pay in tips and bonuses.
Problem 9: Write an equation that describes Jules’ total take-home pay in terms of the number of hours work at the first job and the number of hours worked at the second.
Problem 10: If Jules is committed to work 30 hours per week at the first job, how many hours per week would he need to work at the second job if he needs his biweekly take home pay to $1500.00?
You must show all of your work
Record your answers.
1. 6. 2. 7. 3. 8. 4. 9. 5. 10.
Record your answers and work.
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