Question

F(x) = |x + 2|-3

Hi if you could please show step by step how you solve this?
Thank you!

Answer 1

check below

Explanation:

f(x) = |x + 2| - 3

x + 2 = 0, x = -2

y = |-2 + 2| - 3

y = -3

vertex = (-2, -3)

domain:

interval notation

(-infinity, infinity)

set builder notation

x

it's infinity for both because in the function it's inside the absolute value ||

range:

interval notation

(-3, infinity)

set builder notation

{y|y
`\geq` -3}}

points that hit the graph

x | y

1 0

-1 -1

-2 -3

-5 0