91Ó°ÊÓ

Use the graph of the function to answer each question. (a) Find any \(x\) -intercepts of the graph of \(y=f(x)\). (b) Find any \(y\) -intercepts of the graph of \(y=f(x)\). (c) Find the intervals on which the graph of \(y=f(x)\) is increasing and the intervals on which the graph of \(y=f(x)\) is decreasing. (d) Find all relative extrema, if any, of the graph of \(y=f(x)\) (e) Find all vertical asymptotes, if any, of the graph of \(y=f(x)\) \(f(x)=\csc x\)

What is the amplitude of \(y=-4.5 \sin x ?\)

Are the angles \(315^{\circ}\) and \(-225^{\circ}\) coterminal?

What do you call the acute angle formed by the terminal side of an angle \(\theta\) in standard position and the horizontal axis?

Sketch the graph of the function. (Include two full periods.) Use a graphing utility to verify your result. \(y=\tan \frac{x}{5}\)

Sketch the graph of the function. (Include two full periods.) Use a graphing utility to verify your result. \(y=\tan 3 x\)

In which quadrants is \(\cos \theta\) positive?

Use the graph of the function to answer each question. (a) Find the \(x\) -intercepts of the graph of \(y=f(x).\) (b) Find the \(y\) -intercept of the graph of \(y=f(x).\) (c) Find the intervals on which the graph of \(y=f(x)\) is increasing and the intervals on which the graph of \(y=f(x)\) is decreasing. (d) Find the relative extrema of the graph of \(y=f(x).\) $$f(x)=\cos x$$

Is the angle \(\frac{2 \pi}{3}\) acute or obtuse?

For which of the quadrant angles \(0, \pi / 2, \pi,\) and \(3 \pi / 2\) is the sine function equal to \(0 ?\)