Use the given magnitude and direction to find the vector \( \mathbf{v} \) in standard position. \( |\mathbf{v}|=7, \theta=\frac{5 \pi}{3} \) \( \mathbf{v}=\square \) help (vectors)

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

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) \( C=\{x:(x-2)(x+3)=0 \Rightarrow x \geq 0\} \)

Let \( f(x)=7\left(\frac{1}{2}\right)^{x} \). Complete parts (a) through (e) below. (a) What are the domain and range of \( f \) ? The domain of \( f \) is \( \square \) and the range of \( f \) is (Type your answers in interval notation.) (b) Is f either increasing or decreasing on its domain?

Let \( f(x)=7\left(\frac{1}{2}\right)^{x} \). Complete parts (a) through (e) below (c) Find any asymptotes of the graph of \( f \). Select the co

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