NZ Level 8 (NZC) Level 3 (NCEA) [In development]
Key features of tangent curves

## Interactive practice questions

Consider the graph of $y=\tan x$y=tanx

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State the $y$y-intercept of the graph.

Easy
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Consider the graph of $y=\tan x$y=tanx for $-2\pi\le x\le2\pi$2πx2π.

What is the least positive value of $x$x for which $\tan x=0$tanx=0?

Give your answer in radians.

Fill in the blank:

The graph of $\tan x$tanx _______ between any two successive vertical asymptotes.

### Outcomes

#### M8-2

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