Question

The point (1,13) lies on the line f(x)=13x . The function g(x)=log13x includes a point of a reflection across the line y=x that lies on the line g(x)=log13x . In which quadrant of the coordinate plane is this point located?(1 point) Responses Quadrant IV Quadrant IV Quadrant II Quadrant II Quadrant I Quadrant I Quadrant III

Answer 1

The point (1,13) lies on the line f(x)=13x. To find the reflection across the line y=x, we need to swap the x and y coordinates. Thus, the reflected point would be (13,1).

This reflected point lies in Quadrant I, where both x and y coordinates are positive. Therefore, the correct answer is Quadrant I.