91Ó°ÊÓ

\(1-2\) Fill in the blank with the appropriate direction (left, right.up, or down). (a) The graph of \(y=f(x)+3\) is obtained from the graph of \(y=f(x)\) by shifting ________3 units. (b) The graph of \(y=f(x+3)\) is obtained from the graph of \(y=f(x)\) by shifting ________3 units.

A function \(f\) is one-to-one if different inputs produce _____ outputs. You can tell from the graph that a function is one-to-one by using the _____ Test.

If you travel 100 miles in two hours, then your average speed for the trip is average speed \(=\frac{\square}{\square}=\)_____.

\(1-2\) Fill in the blank with the appropriate direction (left, right.up, or down). (a) The graph of \(y=f(x)-3\) is obtained from the graph of \(y=f(x)\) by shifting_________3 units. (b) The graph of \(y=f(x-3)\) is obtained from the graph of \(y=f(x)\) by shifting_________3 units.

(a) For a function to have an inverse, it must be _____. So which one of the following functions has an inverse? $$ f(x)=x^{2} \quad g(x)=x^{3} $$ (b) What is the inverse of the function that you chose in part (a)?

For a function \(f,\) the set of all possible inputs is called the $$ \begin{array}{l}{\text { of } f, \text { and the set of all possible outputs is called the }} \\ {\text { of } f}\end{array} $$

If \(f(2)=3,\) then the point (2,________) is on the graph of \(f\).

By definition, \(f \circ g(x)=______\quad\) So if \(g(2)=5\) and \(f(5)=12,\) then \(f \circ g(2)= _______\)

A function \(f\) has the following verbal description: "Multiply by \(3,\) add \(5,\) and then take the third power of the result." (a) Write a verbal description for \(f^{-1} .\) (b) Find algebraic formulas that express \(f\) and \(f^{-1}\) in terms of the input \(x .\)

Fill in the blank with the appropriate axis (x-axis or \(y\) -axis) (a) The graph of \(y=-f(x)\) is obtained from the graph of \(y=f(x)\) by reflecting in the_________ (b) The graph of \(y=f(-x)\) is obtained from the graph of \(y=f(x)\) by reflecting in the_________