Graphing+Linear+Functions-Target+A-What+is+Your+Representation?-Practice+Problems

What is your Representation?
 * Target A: Translate Between Multiple Representations of Linear Functions Using Function Notation**

Complete the sentences by filling in the blanks:
 * 1)** The collection of all input values is the -- of a relation.


 * 2)** The collection of all output values is the -- of a relation.

math \text {(1, 4), (-2, 4), (3, 5), (-2, 2)} math
 * 3)** Translate the following set of ordered pairs to a graph. State the domain and range.


 * 4)** Translate the following graph to a set of ordered pairs. State the domain and range.

math \begin{array}{|c||c|} \hline \mathrm{Input} & \mathrm{Output} \\ \hline -1 & 5 \\ \hline 0 & 7 \\ \hline 1 & 8 \\ \hline -1 & 6 \\ \hline 2 & 10 \\ \hline \end{array} math
 * 5)** Translate the following table to a set of ordered pairs.

Make a table for the function. Identify the range of the function. math \textbf{6)} \ y=2x-5,\text{Domain: {0,3,5,7,9}} math

math \textbf{7)} \ y=3x-7,\text{Domain: {0,1,2,3,4}} math

math \textbf{8)} \ y=-x+2,\text{Domain: {-2,-1,0,1,3}} math

Write a rule for the function.

math \textbf{9)} \begin{array}{|c|c|c|c|c|} \hline \textbf{x} & 0 & 1 & 2 & 3 \\ \hline \textbf{y} & 7 & 8 & 9 & 10 \\ \hline \end{array} math

math \textbf{10)} \begin{array}{|c|c|c|c|c|} \hline \textbf{x} & 0 & 1 & 2 & 3 \\ \hline \textbf{y} & 1 & 3 & 5 & 7 \\ \hline \end{array} math

math \large f(x)=2x+3 math math \textbf{a)} \ 1.5\\ \textbf{b)} \ 15\\ \textbf{c)} \ 18\\ \textbf{d)} \ 20\\ math
 * 11)** Multiple Choice: The number 6 is in the domain of the given function. Which number is in the range of the function.

math \textbf{a)} \ y=2x+7\\ \textbf{b)} \ y=7x-2\\ \textbf{c)} \ y=\frac{1}{2}x-7\\ \textbf{d)} \ y=2x-7\\ math
 * 12)** Multiple Choice: If each output is 7 less than twice the corresponding input. Which equation represents the rule of the function?

math \begin{array}{|c|c|} \hline \textbf{Students on} & \textbf{Cost} \\ \textbf{the council} & \ \\ \hline ? & ?\\ \hline ? & ? \\ \hline ? & ? \\ \hline ? & ? \\ \hline \end{array} math
 * 13)** You are the treasurer of the student council, which has 12 members, at your school. In your fall meeting, the council members discussed offering a t-shirt for purchase for $10 per t-shirt only if a member wanted to buy one. Using the number of students in the council as the independent variable and the cost as the dependent variable, fill out the table below. Also write the function as set of ordered pairs, a graph and a rule.

14) You are considering buying some used books at the book sale, each book costs $0.75. Write a rule to represent your cost as a function of the number of books you can purchase. You have $4.00 to spend. Create a table and graph the function.

15) You are considering taking karate lessons at the community center. Each lesson costs $20 per half hour. Write a rule for the situation. You would take at most 7 lessons if you decide you have time. List the possible domain and range and graph the function.

math \begin{array}{|c||c|} \hline \mathrm{Input} & \mathrm{Output} \\ \hline 1 & 5 \\ \hline 2 & 7 \\ \hline 3 & 9 \\ \hline 4 & 11 \\ \hline 5 & 13 \\ \hline 6 & 15 \\ \hline \end{array} math
 * 16)** Given the table below, write a contextual situation that could be modeled by the table.

math \textbf{a)} \ \ f(\text{-}2) \ \ \ \text{if} \ \ \ f(x) = \text{-}x + 4 math
 * 17)** Evaluate the following.

math \textbf{b)} \ \ g(\dfrac{1}{2}) \ \ \ \text{when} \ \ \ g(x)=\text{-}2x-4 math

math \textbf{c)} \ \ \text{Find} \ \ x \ \ \text{if} \ \ \ f(x)=\text{-}11 \\ \text{when} \ \ \ f(x)=\dfrac{1}{4}x-6 math

math \textbf{d)} \ \ \text{Find} \ \ x \ \ \text{if} \ \ \ h(x)=32 \\ \text{when} \ \ \ h(x)=14-x math

math \textbf{e)} \ \ g(\dfrac{2}{3}) \ \ \ \text{when} \ \ \ g(x)=\text{-}x-2 math

math \textbf{f)} \ \ \text{Find} \ \ x \ \ \text{if} \ \ \ h(x)=-6 \\ \text{when} \ \ \ h(x)=-3x-7 math