SOLUTION: Again, thank you in advance for showing me how to breakm this down to graph. I need an example of what to do. The equation I need to graph is f(x)= 2|x+1|-4.

Algebra ->  Graphs -> SOLUTION: Again, thank you in advance for showing me how to breakm this down to graph. I need an example of what to do. The equation I need to graph is f(x)= 2|x+1|-4.      Log On


   

Question 176121This question is from textbook college algebras
: Again, thank you in advance for showing me how to breakm this down to graph. I need an example of what to do. The equation I need to graph is f(x)= 2|x+1|-4. This question is from textbook college algebras

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Absolute value problems are really two problems in one: A positive and negative one.
Remember that
abs%28z%29=z when z%3E=0
abs%28z%29=-z when z%3C0
.
.
.
Break up the problem into two parts
1.f%5Bp%5D%28x%29=2%2A%28x%2B1%29-4 when %28x%2B1%29%3E=0
2.f%5Bn%5D%28x%29=2%2A%28-%28x%2B1%29%29-4 when %28x%2B1%29%3C0
where the subscripts p and n denote positive and negative.
Simplify 1 and 2,
1.f%5Bp%5D%28x%29=2x%2B2-4 when x%3E=-1
1.f%5Bp%5D%28x%29=2x-2 when x%3E=-1
Find values for two points, x=-1 and x=1.
f%5Bp%5D%28-1%29=-4
f%5Bp%5D%281%29=0
.
.
.
2.f%5Bn%5D%28x%29=2%2A%28-x-1%29%29-4 when x%3C-1
2.f%5Bn%5D%28x%29=-2x-6 when x%3C-1
Find values for two points, x=-1 and x=-3.
f%5Bn%5D%28-1%29=-4
f%5Bn%5D%28-3%29=0
.
.
.
Plot the points (1,0),(-1,4),(-3,0) and draw the lines.
.
.
.