# How do you sketch the graph of #f(x)=piarcsin(4x)#?

##### 1 Answer

See graphs and explanation.

#### Explanation:

The y-axis is the axis of this wave.

The wave-period = #(2pi)/(1/pi) = 2(pi)^2 = 19.74, nearly.

Amplitude =1/4

The range :

Domain ;

See the graph of

limits, attributed to the convention

graph{y-3.14 arcsin (4x ) = 0}

Now see the graph for

common-to-both inverse

wholesome and, by sliding the graph

pixel\march to

above, for .

graph{x-0.25 sin( y / 3.14)=0[ -1 1 -40 40] }

I expect that the hand calculators would soon use the

piecewise-wholesome

.