Use the horizontal line test to determine which function bel

Use the horizontal line test to determine which function below is one-to-one. Let f be the one-to-one function you picked above in the first part of this question.

Solution

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.

If we draw a horizontal line across the graph in Graph A and Graph B.

Function A has two intersection points near the ends, so it is not one-one function

Function B : Nowhere graph has two interssection points, if we draw a horizontal line across the graph.

It is a one-one function

Funtion B: Domain from graph [ -pi/2, pi/2]

Range [ -1 ,1]

f^-1 : Domain = Range of f(x) = [ -1, 1]

Range = Domain of f(x) = [ -pi/2, pi/2]