9. The inverse of an ordered pair on a graph is its reflection across the line y = x.

always true
sometimes true
never true

10. The inverse of a linear function is a linear function.

always true
sometimes true
never true

11. The inverse of a line with positive slope is a line with negative slope.

always true
sometimes true
never true

12. The inverse of a line with a slope greater than 1 is a line with slope less than 1.

always true
sometimes true
never true

13. The inverse of the inverse of point (x, y) is the original point.

always true
sometimes true
never true

14. The line y = k, where k is a constant, has an inverse.

always true
sometimes true
never true

Respuesta :

Answer:

9. Always true

10. Always true

11. Never true

12. Always true

13. Always true

14. Never true

Step-by-step explanation:

An inverse is defined as the reflection across the line y=x. Algebraically this means that x and y switch place in the inverse equation and in the coordinate points of a function.

A line will always give a line.

Example: y = 2x -2

Inverse: x = 2y -2 which when rearranged is y = 1/2 x +1.

This also means that the slope if greater than 1 for the function will have a slope less than 1 for its inverse.