Graph & Inverse: Evaluating f(2), f(-2), etc.

[aisha]

I have a graph that looks like a C its a parabola and it has a vertex of -2,0 My question says to evaluate f(2) f(-2) f^-1(0) and f^-1(2) how do I do this? I sketched the inverse already now what? Please help me

 

[Sirus]

Find the values of y when x equals each of those values for each graph. For example, find the y coordinate for the point on f(x) where x=2 to evaluate f(2). It may be useful to find the equations of the functions first. Try using the data and the graph to find the equations.

 

[delton]

Another thing: in an inverse the x and y values are switched. This fact makes drawing even the most complcated graph's inverses a breeze.

 

[HallsofIvy]

Darned if I know! You will need to know more about the function than just that its graph "looks like a C its a parabola and it has a vertex of -2,0". From that, you can only say that f^-1(0)= -2 since the inverse function swaps x and y values.
f(2) and f^-1 depend upon other information about the graph.

 

[aisha]

Darned if I know! You will need to know more about the function than just that its graph "looks like a C its a parabola and it has a vertex of -2,0". From that, you can only say that f^-1(0)= -2 since the inverse function swaps x and y values.
f(2) and f^-1 depend upon other information about the graph.

LOL thanks guys I got it, I found the coordinates of f(x) and then switched them to get the inverse. Then I evaluated I hope this is right.