Question

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! I CANNOT RETAKE THIS!!

Which functions are invertible?

Select EACH correct answer.

Answer 1

For checking any functions to be invertible

we use horizontal line test

Horizontal line test (HLT):

If a horizontal line intersects a function's graph more than once, then the function is not one-to-one

And For any function to be invertiable , it must be one to one

so, we will verify each graph

Graph-1:

we can see that horizontal line intersects on the graph at two points

so, this is not one to one

so, this is not invertiable

Graph-2:

we can see that horizontal line intersects on the graph at only one point

so, this is one to one

so, this is invertiable

Graph-3:

we can see that horizontal line intersects on the graph at two points

so, this is not one to one

so, this is not invertiable

Graph-4:

we can see that horizontal line intersects on the graph at only one point

so, this is one to one

so, this is invertiable