Question

If the graph of a function is in Quadrant II, then in which quadrant is the graph of its inverse?(1 point)
Responses

Quadrant I
Quadrant I

Quadrant II
Quadrant II

Quadrant III
Quadrant III

Quadrant IV

Answer 1

If the graph of a function \( f(x) \) is in Quadrant II, this means that the function takes positive \( y \) values for negative \( x \) values.

The graph of its inverse \( f^{-1}(x) \) will swap the \( x \) and \( y \) coordinates of the points on the graph of the original function. Since the original function's graph is in Quadrant II, after swapping, the inverse will have negative \( y \) values for positive \( x \) values.

This places the graph of the inverse in Quadrant IV.

So the answer is:

**Quadrant IV**