91Ó°ÊÓ

Select all of the following tables which represent \(y\) as a function of \(x\) and are one-to-one. a. $$ \begin{array}{|l|l|l|l|} \hline \boldsymbol{x} & 2 & 8 & 8 \\ \hline \boldsymbol{y} & 5 & 6 & 13 \\ \hline \end{array} $$ b. $$ \begin{array}{|l|l|l|l|} \hline x & 2 & 8 & 14 \\ \hline y & 5 & 6 & 6 \\ \hline \end{array} $$ c. $$ \begin{array}{|l|l|l|l|} \hline \boldsymbol{x} & 2 & 8 & 14 \\ \hline \boldsymbol{y} & 5 & 6 & 13 \\ \hline \end{array} $$

Write a formula for \(f(x)=\frac{1}{x}\) shifted down 4 units and right 3 units.

Find the average rate of change of each function on the interval specified. Your answers will be expressions involving a parameter \((b\) or \(h)\). \(h(x)=3 x+4\) on \([2,2+h]\)

For each function below, find \(f^{-1}(x)\) $$ f(x)=x+3 $$

Find the domain of each function $$ f(x)=\frac{3 x+1}{4 x+2} $$

Find the average rate of change of each function on the interval specified. Your answers will be expressions involving a parameter \((b\) or \(h)\). \(k(x)=4 x-2\) on \([3,3+h]\)

For each function below, find \(f^{-1}(x)\) $$ f(x)=x+5 $$

Find the domain of each function $$ f(x)=\frac{5 x+3}{4 x-1} $$

Write a formula for \(f(x)=\frac{1}{x^{2}}\) shifted up 2 units and left 4 units.

Find the average rate of change of each function on the interval specified. Your answers will be expressions involving a parameter \((b\) or \(h)\). \(a(t)=\frac{1}{t+4}\) on \([9,9+h]\)