New Zealand
Level 8 - NCEA Level 3

# Domain and range of tangent curves

## Interactive practice questions

Consider the function $f\left(x\right)=\tan x$f(x)=tanx. For what values of $x$x (in radians) is $f\left(x\right)=\tan x$f(x)=tanx not defined?

Odd integer multiples of $\frac{\pi}{2}$π2

A

Even integer multiples of $\pi$π

B

Odd integer multiples of $\pi$π

C

Even integer multiples of $\frac{\pi}{2}$π2

D

Odd integer multiples of $\frac{\pi}{2}$π2

A

Even integer multiples of $\pi$π

B

Odd integer multiples of $\pi$π

C

Even integer multiples of $\frac{\pi}{2}$π2

D
Easy
Less than a minute

Select the correct domain of $y=\tan x$y=tanx.

Select the correct range of $y=\tan x$y=tanx.

Let $f\left(x\right)=\tan x$f(x)=tanx and $g\left(x\right)=\tan x+4$g(x)=tanx+4.

### Outcomes

#### M8-2

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