Question

Estimate f^-1(2) based off the graph attached inside.

**not sure how to identify it :/

Answer 1

graph! :)

Answer 2

Properties of inverse functions

f^-1(a) = b
then
f(b) = a

f^-1(2) = ?
then
f(?) = 2

Answer 3

f(1)=2 ?

Answer 4

oh wait..

would it be
f^-1(2) = -2
then
f(-2) = 2

? :/

Answer 5

remember, f(x) is like y...

f^-1(2) = ?
then
f(?) = 2 <=== find this on the graph

Answer 6

-2?

Answer 7

oh wait, -1 ?

Answer 8

because of the point (-1, 2) ?

Answer 9

f^-1(2) = ?
then
f(?) = 2

so you know f(-1) = 2 right?

Now you should know f^-1(2) = ....?

Answer 10

it would be 1 ?

Answer 11

f^-1(2) = ?
then
f(?) = 2

You already found what the ? is.

Answer 12

-1 ?

Answer 13

ohh okay :) yay!! thank youuu!! :D

Answer 14

oh so there's a second part that is kinda linked to this graph...

it gives me graphs and asks which one is f^-1 on the same axes...

here are graphs 1, 2, and 3 attached

Answer 15

and here are graphs 4 and 5...

Answer 16

i'm not really sure how to see which one is f^-1.... it should be below the x axis though right?

Answer 17

Easiest way is to draw the line y = x, and see which graph is reflected perfectly over that line (that's how you find the inverse function)

Answer 18

ohhh okay.. lemme try that..

Answer 19

umm not 100% sure, but would it be graph 4? because the line y=x would go straight through (0,0) right?

Answer 20

Yeah, even by imagining the line y = x i can see it's #4

Answer 21

oh okay awesome!! thank you so much... again haha!!!! :)

Answer 22

:)