Describe how you know 1 If a function has an inverse 2 If a

Describe how you know .... 1. If a function has an inverse. 2. If a function has symmetry across the y-axis Give an example of a function that meets both quality #1 and #2.

Solution

1) If a function has an inverse then it should be one to one.

2) If a function has symmetry across the y axis then is should be and even function

A function can not be even and has an inverse at the same time.

eg : y= x^2 is even but its inverse y = sqrt(x) is not a function AS IT gives MULTIPLE IMAGES

y = sqrt4 = +2, -2