NZ Level 8 (NZC) Level 3 (NCEA) [In development]
Inverse functions

## Interactive practice questions

A function has an inverse function if:

It passes the vertical line test but fails the horizontal line test.

A

It passes both the vertical line test and the horizontal line test.

B

It fails both the vertical line test and the horizontal line test.

C

It fails the vertical line test but passes the horizontal line test.

D

It passes the vertical line test but fails the horizontal line test.

A

It passes both the vertical line test and the horizontal line test.

B

It fails both the vertical line test and the horizontal line test.

C

It fails the vertical line test but passes the horizontal line test.

D
Easy
Less than a minute

We want to determine whether $f\left(x\right)=-\frac{7}{2}x$f(x)=72x and $g\left(x\right)=-\frac{2}{7}x$g(x)=27x are inverse functions.

We want to determine whether $f\left(x\right)=3x+12$f(x)=3x+12 and $g\left(x\right)=\frac{1}{3}x-4$g(x)=13x4 are inverse functions.

We want to determine whether $f\left(x\right)=3x-6$f(x)=3x6 and $g\left(x\right)=\frac{1}{3}x-2$g(x)=13x2 are inverses.

### Outcomes

#### M8-2

Display and interpret the graphs of functions with the graphs of their inverse and/or reciprocal functions