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Big Ideas Math Algebra 1, 2015

BI

Big Ideas Math Algebra 1, 2015 View details

7. Piecewise Functions

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Exercise 39 Page 223

What is the vertex form of an absolute value function?

$y = {- x + 2, - x - 2, if x < 2 if x \geq 2$

Practice makes perfect

We are asked to write the absolute value function

y = ∣ x - 2 ∣

as a piecewise function. Let's start by recalling that how we write the vertex form of an absolute value function,

g (x) = a ∣ x - h ∣ + k,

as a piecewise function.

g (x) = {a (- (x - h)) + k, if x - h < 0 a (x - h) + k, if x - h \geq 0

Using this, let's identify the values for our function.

Subchapter links

Communicate Your Answer p.217

Monitoring Progress p.218-221

Exercises p.222-224