91Ó°ÊÓ

\(65-70\) Determine whether \(f\) is even, odd, or neither. If you have a graphing calculator, use it to check your answer visually. $$f(x)=\frac{x^{2}}{x^{4}+1}$$

\(\begin{array}{l}{\text { Suppose } g \text { is an odd function and let } h=f \circ g . \text { Is } h \text { always an }} \\ {\text { odd function? What if } f \text { is odd? What if } f \text { is even? }}\end{array}\)

\(65-70\) Determine whether \(f\) is even, odd, or neither. If you have a graphing calculator, use it to check your answer visually. $$f(x)=\frac{x}{x+1}$$

\(66-68\) Simplify the expression. $$\sin \left(\tan ^{-1} x\right)$$

\(66-68\) Simplify the expression. $$\cos \left(2 \tan ^{-1} x\right)$$

\(65-70\) Determine whether \(f\) is even, odd, or neither. If you have a graphing calculator, use it to check your answer visually. $$f(x)=x|x|$$

\(65-70\) Determine whether \(f\) is even, odd, or neither. If you have a graphing calculator, use it to check your answer visually. $$f(x)=1+3 x^{2}-x^{4}$$

\(69-70\) Graph the given functions on the same screen. How are these graphs related? $$y=\sin x,-\pi / 2 \leqslant x \leqslant \pi / 2 ; \quad y=\sin ^{-1} x ; \quad y=x$$

\(69-70\) Graph the given functions on the same screen. How are these graphs related? $$y=\tan x,-\pi / 2

\(65-70\) Determine whether \(f\) is even, odd, or neither. If you have a graphing calculator, use it to check your answer visually. $$f(x)=1+3 x^{3}-x^{5}$$