SOLUTION: How do I "sketch the restricted function and state the domain and range in interval notation, of the following:" f(x)=x^2 f(-2)= Graph f(x) if x> -2 This is one question

Algebra ->  Linear-equations -> SOLUTION: How do I "sketch the restricted function and state the domain and range in interval notation, of the following:" f(x)=x^2 f(-2)= Graph f(x) if x> -2 This is one question       Log On


   

Question 988474: How do I "sketch the restricted function and state the domain and range in interval notation, of the following:"
f(x)=x^2
f(-2)=
Graph f(x) if x> -2

This is one question and it is typed exactly how the problem looks on my paper. Only difference, this problem is missing an empty graph under it. Thank you in advance!
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
How do I "sketch the restricted function and state the domain and range in interval notation, of the following:"
f(x)=x^2
f(-2)=
Graph f(x) if x> -2


It's a little confusing because it asks for f(-2) and then it says x > -2.

If x is greater than -2 then x cannot equal to -2.  However to then ask for

f(-2) is to ask "What is x^2 when x equals to -2?".  So x > -2 says that x

cannot be -2, and then f(-2) says it must be -2.  So I am confused.  If it

were not restricted then f(-2) would be (-2)^2 or 4.  But if it's restricted

then there can be no such thing as f(-2).   So the answer is either 4 or

"undefined".



Here is the graph restricted to x > 2.  Notice the open circle at its

endpoint: