0. Functions

Sketch the function $y=\(\cos\]\left\)(x\(\right\))-1$ on the graph below.

Determine the value of $y=\(\sin\[\left\)(-\(\frac{\pi}{2}\]\right\))+50$ without using a calculator or the unit circle.

Below is a graph of the function $y=\(\sec\[\left\)(bx-\(\pi\]\right\))$. Determine the value of b.

Below is a graph of the function $y=\(\csc\]\left\)(bx\(\right\))$. Determine the value of b.

Identify the amplitude and period of the following functions.

$f\(\left\)(\(\pi\]\right\))=2\(\sin\)2\(\theta\)$

Identify the amplitude and period of the following functions.

$g\(\left\)(\(\theta\]\right\))=3\(\cos\[\left\)(\(\frac{\theta}{3}\]\right\))$

Identify the amplitude and period of the following functions.

$p\(\left\)(t\(\right\))=2.5\(\sin\]\left\)(\(\frac\)12\(\left\)(t-3\(\right\))\(\right\))$

Identify the amplitude and period of the following functions.

$q\(\left\)(x\(\right\))=3.6\(\cos\[\left\)(\(\frac{\pi x}{24}\]\right\))$