2015_Unit 4 Exam Review

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Transcript 2015_Unit 4 Exam Review

Unit 4 Cumulative Review
Do-Now:
1. Please turn in Project
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– DON’T STAPLE
2.
Check Homework: Review Packet
– Mistake in #7
3.
When Finished, start the Warm-Up
Warm-Up
Use the table of values for f(x) and g(x) to answer each
question. Which of the following is true? Check all that
apply.
x
f(x)
x
g(x)
 f(0) = 5
-2
10
-6
-1
 g(10) = f(3)
-1
22
-4
-2
 g(4) < f(-1)
0
-5
2
1
 g(-6) > f(3)
 g(3) + f(0) =0
1
6
3
2
 g(-6) – f(0) = 4
2
0
4
3
 f(g(3)) = 0
 g(g(4)) = -2
3
1
10
1
General Questions?
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This PowerPoint includes the following
topics:
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Absolute value equations and inequalities
Matrices
Functions Notation and Evaluating Functions
Domain and Range
Writing Function Rules
A Uniform Motion Word Problem
Solving equations with Variables on both sides
Literal Equations
Unit 4 Cumulative Review
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Grab a whiteboard, marker, eraser for
unit 4 review
Inequalities
Solve and graph the following:
|2x+3| > 15
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Inequalities
Solve and graph the following:
|-3x + 12| - 5 < -10
No solution:
Absolute value cannot be negate
Functions
Graphically speaking, a
function must pass the
_______________
____________
Vertical Line Test
Functions
In relating the miles driven in a
rental car to the total cost of
the rental, which is the
dependent variable?
Which is the independent
variable?
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Independent: x = # of miles
Dependent: y = total cost of rental
Functions
If f(x) = 2x + 1 find the
corresponding range values
for the domain D: {-3, 0, 1, 5}
R: {-5, 1, 3, 11}
Functions
Draw the following relation as a
mapping diagram:
{(0,1), (2,-3), (3, 4), (2, 2)}
Is this relation a function?
Uniform Motion
Bob starts out in his car traveling 30
mph. Four hours later, Mr. Speedster
starts out from the same point at 60
mph to overtake Bob. In how many
hours will he catch him?
After 4 hours, Mr. Speedster will
overtake Bob.
What are the values of x and y?
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What are the values of x and y?
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Solve.
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No solution!
Solve.
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Solve.
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4=4
All real numbers
Solve for w
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Solve for w
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Classify each number
a. 24
c. 3.52325
b. -3
d. 3.52325…
Classify each number
a. 24
Natural, whole,
integer, rational, real
b. -3
Integer, rational, real
c. 3.52325
Rational, real
d. 3.52325…
irrational, real
Whip-Around
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Any last minute questions that you still
have about tomorrow’s test?