Question

Which of the following best describes the graph below?

A) It is a function, but it is not one-to-one
B) It is not a function.
C) It is a one-to-one function.
D) It is a many-to-one-function.

Will add an attachment in a second.

Answer 1

@jim_thompson5910

Answer 2

what do you have so far?

Answer 3

Well from what you said about the last one about the horizontal line being a one-to-one I would think one of the answers would have to be one that has one-to-one but I'm not sure since It curves and goes sort of in a diagonal way

Answer 4

Sorry if I'm completely wrong

Answer 5

is it possible to pass a horizontal line through multiple points on this function curve?

Answer 6

Well it doesnt look like the other one so I'm not sure. If it was passing through multiple points it wouldnt be a one-to-one I know that

Answer 7

question: is it possible to pass a horizontal line through multiple points on this function curve?

answer: no it is not possible at all

so because of this, it passes the horizontal line test

Answer 8

and because it passes the vertical line test, this is indeed a function

so it's

a) a function

AND

b) one to one

Answer 9

I think I get it now but the reason why it wouldnt pass any other points is because theirs only one at -2 were the line starts?

Answer 10

and its horizontal

Answer 11

yes the horizontal line that passes through that point only passes through that exact 1 point (and no other points)

Answer 12

the same can be said about any other point on that blue curve

Answer 13

Okay Thanks again!

Answer 14

So the rule is this

IF you can pass a horizontal line through any two points at the same time (on the same horizonal level), then the curve fails the horizontal line test and it is NOT one-to-one

Answer 15

np

Answer 16

Okay!