Page 29 - Math Course 3 (Book 1)

Absolute Value Inequalities

Your Turn! Graphing Absolute Value Functions
Graph f(x) = |x + 2|.

Solve an Absolute Value Equation
A. 6 y B. 2 y
WEATHER
The average temperature for Columbus on 4 –4 –2 0 2
Tuesday was 45ºF. The actual temperature for
anytime during the day may have actually varied 2 –2
from the average temperature by 15ºF. Solve to x –4 x
find the range of temperatures. –4 –2 0 2
–2 –6
A. {–60, 60}
B. {0, 60} C. 6 y D. y 2
C. {–45, 45}
D. {30, 60} 4 –2 2 4
0 x
2 –2
Answer x
–4 –2 0 2 –4
Solve |x – 3| = –5. –2 –6

A. {8, –2} Answer
B. {–8, 2}
C. {8, 2}
D. Ø

Answer

Graph f(x) = |x – 3|.

A. y B. y
6 2
–4 –2
Write an Absolute Value Equation 4 0 2
Write an equation involving the absolute value for 2 –2
the graph. x –4 x
–4 –2 0 2
–2 –6
–4 –3 –2 –1 0 1 2 3 4 5 6 7 8
C. y D. y
A. |x – 2| = 4 6 2
B. |x + 2| = 4 4 –2 2 4
C. |x – 4| = 2 0 x
D. |x + 4| = 2 2 –2
x –4
Answer –2 0 2 4
–2 –6

Answer

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