Question

What is the line of symmetry for a function and its inverse when graphed?

a) X-axis
b) Y-axis
c) y = 0
d) y = x

Answer 1

The line of symmetry for a function and its inverse when graphed is the y-axis.

Step-by-step explanation:

The line of symmetry for a function and its inverse when graphed is the y-axis.

The line of symmetry is a vertical line that divides the graph into two equal halves, reflecting each point across the line. When a function is graphed, the line of symmetry is the y-axis. When the inverse of the function is graphed, the line of symmetry is still the y-axis.

For example, if the original function has a point (2, 3), its reflection across the y-axis would be (-2, 3) on the graph of the inverse function.