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Big Ideas Math Algebra 1, 2015

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Big Ideas Math Algebra 1, 2015 View details

7. Graphing Absolute Value Functions

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Exercise 12 Page 160

Make a table of values to find points on the graph. Note that the graph of $q (x)$ is a V-shaped graph.

Graph:

Domain: All real numbers
Range: $y \leq 0$
Comparison: See solution.

Practice makes perfect

Let's graph $q (x)$ first and then we can compare it to the graph of $f (x) .$

Graphing $q (x)$

To graph the function without going through the entire process of transforming the parent function, we can make a table of values. Then we only need to plot the ordered pairs that we find.

$x$	$- \frac{3}{2} ∣ x ∣$	Simplify	$q (x) = - \frac{3}{2} ∣ x ∣$
$- 4$	$- \frac{3}{2} ∣ - 4 ∣$	$- \frac{3}{2} (4)$	$- 6$
$- 2$	$- \frac{3}{2} ∣ - 2 ∣$	$- \frac{3}{2} (2)$	$- 3$
$0$	$- \frac{3}{2} ∣ 0 ∣$	$- \frac{3}{2} (0)$	$0$
$2$	$- \frac{3}{2} ∣ - 2 ∣$	$- \frac{3}{2} (2)$	$- 3$
$4$	$- \frac{3}{2} ∣ 4 ∣$	$- \frac{3}{2} (4)$	$- 6$

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Subchapter links

Communicate Your Answer p.155

Monitoring Progress p.156-159

Exercises p.160-162