91Ó°ÊÓ

Write the equation of each graph after the indicated transformation\((s)\) The graph of \(y=x^{2}\) is translated ten units to the right and four units upward.

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. $$(f \circ h)(5)$$

Determine whether each function is invertible and explain your answer. The function that pairs the number of days of a hotel stay with the total cost for the stay.

Determine whether each equation defines \(y\) as a function of \(x\). $$y+2=|x|$$

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

If \(y\) is directly proportional to \(u\) and inversely proportional to the square of \(v\), and \(y=7\) when \(u=9\) and \(v=6,\) what is \(y\) when \(u=4\) and \(v=8 ?\)

Write the equation of each graph after the indicated transformation\((s)\) The graph of \(y=\sqrt{x}\) is translated five units to the left and twelve units downward.

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

If \(q\) is directly proportional to the square root of \(h\) and inversely proportional to the cube of \(j,\) and \(q=18\) when \(h=9\) and \(j=2,\) what is \(q\) when \(h=16\) and \(j=1 / 2 ?\)

Determine whether each equation defines \(y\) as a function of \(x\). $$y-1=x^{2}$$