How do you graph #f(x) = |2x + 1|#?

1 Answer
Sep 7, 2017

Answer:

See below.

Explanation:

When dealing with absolute values, we need to look at the value in the absolute bars as being both positive and negative. In this example that would be:

#2x + 1 and - (2x + 1)# since #| 2x + 1 | -= | -( 2x + 1 ) |#

So we graph #y = 2x + 1 # and # y = -2x - 1 #

For range #{ y in RR | y >= 0 }#

See graph:
graph{y = | 2x + 1 | [-3, 2, -0.5, 3]}