Restrict the domain of \( f(x) \) so that \( f \) is one-to-one. Then find \( f^{-1}(x) \). \( f(x)=-2-x^{2} \)

The table contains values for \( f(x) \). If \( h(x) \) is the reflection of \( f(x) \) across the \( x \)-axis, find the missing value in the ordered pair below, for \( h(x) \). \( x \quad-\frac{\pi}{2}-\frac{\pi}{4} \) \( f(x) \) 0

Part 2 of 5 A campground owner has 2500 m of fencing. He wants to enclose a rectangular field bordering a river, with no fencing along the river. (See the s 0.71 of 1 (a) Write an expression for the length of the field as a function of \( x \). (b) Find the area of the field (area \( = \) length \( \times \) width) as a function of \( x \). (c) Find the value of \( x \) leading to the maximum area. (d) Find the maximum area. (a) \( \ell(x)=2500-2 x \) (b) \( A(x)= \)

Graph all vertical and horizontal asymptotes of the \[ f(x)=\frac{8 x-7}{-2 x-1} \]

Let \( f(x)=7\left(\frac{1}{2}\right)^{x} \). Complete parts (a) through (e) below. (e) Is f a one-to-one function? Does fhave an inverse?

1. Write the following sets as an interval or union of interval. In each case \( x \in \Re \). a) \( A=\{x: x \neq 0 \wedge x \neq 8\} \) b) \( B=\left\{x: x^{2}\left(x^{2}-1\right) \neq 0\right\} \) c) \( B=\left\{x: x^{2}=2 \Leftrightarrow x \geq-1\right\} \) d) \( C=\left\{x:\left(x^{3}-2 x\right) \neq 0\right\} \) e) \( C=\{x:(x-2)(x+3)=0 \Rightarrow x \geq 0\} \)