Question

Find the inverse of f(x) = 3x^2. Is the inverse a function?
@hero

Answer 1

Is this function one-to-one? Does it pass the horizontal line test?

Answer 2

i.e. is it possible to draw a horizontal line anywhere on the graph that intersects the graph of f(x) in more than one spot?

Answer 3

Follow @zzr0ck3r 's wisdom

Answer 4

yes @zzr0ck3r

Answer 5

@Hero

Answer 6

@18jonea how explain how you conducted your horizontal line test.

Answer 7

this is the graph i got

Answer 8

@Hero

Answer 9

And what happens if you do a HORIZONTAL line test?

Answer 10

oh wait you cant do it any where

Answer 11

You CAN do a horizontal line test. The question is whether it PASSES the horizontal line test.

Answer 12

so yes it does

Answer 13

but what is the inverse

Answer 14

Explain how it passes.

Answer 15

what do you mean

Answer 16

When you say "yes it does" what do you mean by that?

Answer 17

it passes through at 2 points

Answer 18

So if the horizontal line passes through two points, does it mean that the function passes the horizontal line test?

Answer 19

yes

Answer 20

Explain.

Answer 21

i dont know what to explain

Answer 22

What is the purpose of the horizontal line test?

Answer 23

A test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one. Note: The function y = f(x) is a function if it passes the vertical line test.

Answer 24

What does "one-to-one" mean?

Answer 25

Oh, look what it says about "horizontal line".

Answer 26

not one to one

Answer 27

Here's more clarification:
"one-to-one" means that for a given function, it passes the vertical line test because the vertical line passes through the function exactly "ONCE" and it also passes the horizontal line test, because the horizontal line also passes through the function exactly "ONCE".

Answer 28

In other words, if a function is "one-to-one" it implies that the inverse of the function is also a function.

Answer 29

The biggest advantage to using the horizontal line test is, you can quickly figure out if the inverse of a function is a function.

Answer 30

Which, in this case, we see that the inverse is not a function.

Answer 31

face palm.

Answer 32

If I say, the inverse is NOT a function. It means "NO"

Answer 33

wai tsorry

Answer 34

https://api.agilixbuzz.com/Resz/~Ey6YBAAAAAgtPT9McBUI1A.4lfcIf1WQczuX0l_mowc2C/19809088,B84/Assets/assessmentimages/alg%202%20pt%202%20u4l1%2019.jpg

Answer 35

this one

Answer 36

https://api.agilixbuzz.com/Resz/~Ey6YBAAAAAgtPT9McBUI1A.4lfcIf1WQczuX0l_mowc2C/19809088,B84/Assets/assessmentimages/alg%202%20pt%202%20u4l1%2018.jpg or this one

Answer 37

I'm done.

Answer 38

what @hero

Answer 39

if you can draw a line that passes more than one spot (as you can) then the function does NOT have an inverse.

Answer 40

horizontal

Answer 41

if no such line can be drawn (not the case for you) then the function as an inverse and you need to set it equal to y and solve for x (again, not the case this time).

Answer 42

has an inverse*