Learning how to do these are the last things I need to learn for today.
Graph each function and its inverse.
1) F(x) = |x - 3| + 2
2) F(x) = (x + 2)2 + 3
(The small 2 represents power)
recall that for absolute values you have to consider two cases, when what's inside absolute value signs is negative and when it is positive.
to find the inverse, we switch x and y and solve for y:
work on each piece separately.
For the first graph:
for
For inverse, switch x and y:
for
for (which is equivalent to )
now for the second graph:
for
For inverse, switch x and y:
for
for (which is equivalent to )
thus, putting these together we have:
the graph is below. the green is , the red is