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## GB unit 3

UMGC © Jules Kouatchou Fall 2020

INSTRUCTIONS

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 𝑦 = 𝑓(𝑥). Find the
corresponding point in the graph of:

•This assigment covers Sections 1.6, 1.7, 2.1, 2.2, 2.5
and scan it. Be sure to include your name in the document.

UMGC © Jules Kouatchou Fall 2020

𝑔(𝑥) =
1

7
𝑓(7𝑥) − 6.

Problem 4: A father left ½ 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 𝑥 = 2.

Problem 6: Determine algebraically whether the function is even, odd, or neither
even nor odd.

𝒇(𝒙) = −𝟒𝒙𝟒 + 𝟑𝒙𝟐 − 𝟐

Problem 7: Solve: |
1

2

2

3
𝑥| + 4 = 9.

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?

1

Name______________________________

Instructions:

1. 6.

2. 7.

3. 8.

4. 9.

5. 10.

You must show all of your work

JBell
Cross-Out

2

Problem

Number
Solution

1

Work:

2

Work:

3

Work:

4

7

Work:

8

Work:

9

Work:

5

10

Work:

3

4

Work:

5