91Ó°ÊÓ

For each function \(f,\) find \(f^{-1}, f^{-1}(5),\) and \(\left(f^{-1} \circ f\right)(2)\). $$f=\\{(-3,-3),(0,5),(2,-7)\\}$$

Write the equation of each graph after the indicated transformation\((s)\) The graph of \(y=|x|\) is reflected in the \(x\) -axis, stretched by a factor of \(3,\) then translated seven units to the right and nine units upward.

Make a table listing ordered pairs for each function. Then sketch the graph and state the domain and range. $$f(x)=\left\\{\begin{aligned} x^{2} & \text { for } x<-1 \\ -x & \text { for } x \geq-1 \end{aligned}\right.$$

Write the equation of each graph after the indicated transformation\((s)\) The graph of \(y=x\) is stretched by a factor of \(2,\) reflected in the \(x\) -axis, then translated eight units downward and six units to the left.

Make a table listing ordered pairs for each function. Then sketch the graph and state the domain and range. $$f(x)=\left\\{\begin{array}{ll} 4-x^{2} & \text { for }-2 \leq x \leq 2 \\ x-2 & \text { for } x>2 \end{array}\right.$$

Let \(f(x)=3 x-1, g(x)=x^{2}+1,\) and \(h(x)=\frac{x+1}{3} .\) Evaluate each expression. Round approximate answers to three decimal places. $$(h \circ f \circ g)(3)$$

Determine the domain and range of each relation. $$\\{(1,2),(2,4),(3,8),(4,16)\\}$$

Determine whether each function is invertible by inspecting its graph on a graphing calculator. $$f(x)=(x+0.01)(x+0.02)(x+0.03)$$

Determine the domain and range of each relation. $$\\{(x, y) | y=4\\}$$

Let \(f(x)=3 x-1, g(x)=x^{2}+1,\) and \(h(x)=\frac{x+1}{3} .\) Evaluate each expression. Round approximate answers to three decimal places. $$(f \circ g \circ h)(2)$$