iGCSE (2021 Edition)

How can a graphing utility such as a graphing calculator be used to visually determine if two functions are inverses of each other?

We can graph $y=x$`y`=`x` on the same axes as the graphs of the two functions and look to see if the graphs intersect on the line $y=x$`y`=`x`.

If they do intersect on $y=x$`y`=`x`, then they are inverses. If they don't, they are not inverses.

A

We can graph $y=x$`y`=`x` on the same axes as the graphs of the two functions and look to see one of the graphs is a reflection of the other about $y=x$`y`=`x`.

If they are reflections, then they are inverses. If they aren't reflections, they are not inverses.

B

We look to see if the graphs are reflections of each other about the $y$`y`-axis.

If they are, they are inverses.

C

We can graph $y=x$`y`=`x` on the same axes as the graphs of the two functions and look to see if the graphs intersect on the line $y=x$`y`=`x`.

If they do intersect on $y=x$`y`=`x`, then they are inverses. If they don't, they are not inverses.

A

We can graph $y=x$`y`=`x` on the same axes as the graphs of the two functions and look to see one of the graphs is a reflection of the other about $y=x$`y`=`x`.

If they are reflections, then they are inverses. If they aren't reflections, they are not inverses.

B

We look to see if the graphs are reflections of each other about the $y$`y`-axis.

If they are, they are inverses.

C

Easy

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