SOLUTION: I have to use a graph of g to answer the questions. Assume the domain of g is [-4,4]. what does g(4)=? what does g(-2)=? For how many values of g does g(x)=.08? For what value(

He's just being a butt.

You didn't give a graph, so I'll make up one



what does g(4)=?

That asks "What is y when x=4?"



We find 4 on the x axis which is at the right end.
We draw a green line vertically straight down from the
4 on the x-axis to the curve.  Then we draw another
green line horizontally over to the y-axis, and notice
that it hits the y-axis at -2, so 

g(4) = -2

--------------------------------

what does g(-2)=?

That asks "What is y when x=-2?"



We find -2 on the x axis which is on the left side 2 units
left of the origin.
We draw a green line vertically straight upward from the
-2 on the x-axis to the curve.  Then we draw another
green line horizontally over to the y-axis, and notice
that it hits the y-axis at 3, so 

g(-2) = 3
 
For how many values of g does g(x)=.08?

This asks how many points on this graph have their y-values
equal to .08. That would have to be the points where a line
parallel to the x-axis that is only .08 of a unit above it
corsses the curve.  I will try to draw a green line like that.



Notice that the green line is just barely above the
x-axis, but it will cross the curve in two points near
where x is 1 and near where x=-4 near the left end.
So the answer is that there are two values of x for
which g(x) = .08 


For what value(s) of x is g(x) = 0?

This asks for which values of x does the curve cross
the x-axis.  There are two values, at x=-4 and at x=1,
where the curve crosses the x-axis.

Edwin