SOLUTION: How do you graph and inequality with an exponent or an absolute value? for example y > ( greater or equal to)x2(squared)

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Question 148569: How do you graph and inequality with an exponent or an absolute value? for example y > ( greater or equal to)x2(squared) - 5 ( sorry for the parentheses
- but i don't have the right buttons.)

Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!

Graph: y >= x^2 - 5
:
Just like you do any graph:
There is no middle term in this equation so the vertex is x=0, use x=-3 to x=+3
:
For example: x = -3
y = -3^2 - 5
y = +9 - 4
y = +4
:
Substitute for x and find y, plot these values:
x | y
-------
-3 |+4
-2 |-1
-1 |-4
0 |-5
+1 |-4
+2 |-1
+3 |+4
:
It should look like this
;

:
Shade the area at and above the graph line, note that for all values of x: y =>-5

SOLUTION: How do you graph and inequality with an exponent or an absolute value? for example y > ( greater or equal to)x2(squared) - 5 ( sorry for the parentheses -