91Ó°ÊÓ

Graph the three functions on a common screen. How are the graphs related? $$y=\frac{1}{1+x^{2}}, \quad y=-\frac{1}{1+x^{2}}, \quad y=\frac{\cos 2 \pi x}{1+x^{2}}$$

Determine whether the function is even, odd, or neither. (See page 204 for the definitions of even and odd functions.) $$f(x)=x^{2} \sin x$$

Graph the three functions on a common screen. How are the graphs related? $$y=\cos 3 \pi x, \quad y=-\cos 3 \pi x, \quad y=\cos 3 \pi x \cos 21 \pi x$$

Graph the three functions on a common screen. How are the graphs related? $$y=\sin 2 \pi x, \quad y=-\sin 2 \pi x, \quad y=\sin 2 \pi x \sin 10 \pi x$$

Determine whether the function is even, odd, or neither. (See page 204 for the definitions of even and odd functions.) $$f(x)=\sin x \cos x$$

Find the maximum and minimum values of the function. $$y=x-2 \sin x, \quad 0 \leq x \leq 2 \pi$$

Find the maximum and minimum values of the function. $$y=2 \sin x+\sin ^{2} x$$

Solving Trigonometric Equations Graphically Find all solutions of the equation that lie in the interval \([0, \pi]\). State each answer rounded to two decimal places. $$\cos x=0.4$$

Solving Trigonometric Equations Graphically Find all solutions of the equation that lie in the interval \([0, \pi]\). State each answer rounded to two decimal places. $$\tan x=2$$

Solving Trigonometric Equations Graphically Find all solutions of the equation that lie in the interval \([0, \pi]\). State each answer rounded to two decimal places. $$\csc x=3$$