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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

4. Graphing a Function Rule

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Exercise 24 Page 258

Substitute some arbitrary values for $x$ to find their corresponding $y -$ values.

Practice makes perfect

One way to graph a function rule is by making a table of values and substituting some arbitrary values for $x .$ Doing so will give the corresponding values of $y,$ which we can use to form $(x, y)$ coordinate pairs.

$x$	$∣ x ∣ - 7$	$∣ \pm a ∣ = a$	$y$	$(x, y)$
$- 4$	$∣ - 4 ∣ - 7$	$4 - 7$	$- 3$	$(- 4, - 3)$
$- 2$	$∣ - 2 ∣ - 7$	$2 - 7$	$- 5$	$(- 2, - 5)$
$0$	$∣ 0 ∣ - 7$	$0 - 7$	$- 7$	$(0, - 7)$
$2$	$∣ 2 ∣ - 7$	$2 - 7$	$- 5$	$(2, - 5)$
$4$	$∣ 4 ∣ - 7$	$4 - 7$	$- 3$	$(4, - 3)$

Let's plot these points on a coordinate plane.

By connecting all of our points, we form the graph of the function rule. An absolute value function will always have a central point and be V-shaped, as it is with our graph below.

Subchapter links

Lesson Check p.257

Practice and Problem-Solving Exercises p.257-259

Standardized Test Prep p.259

Mixed Review p.259