Problem 1
The table of data contains input-output values for a function. Answer the following questions for each table. a) Is the change in the inputs \(x\) the same? b) Is the change in the outputs y the same? c) Is the function linear? $$\begin{array}{|r|r|} \hline x & y \\ \hline-3 & 7 \\ -2 & 10 \\ -1 & 13 \\ 0 & 16 \\ 1 & 19 \\ 2 & 22 \\ 3 & 25 \\ \hline \end{array}$$
Problem 3
Graph and label the given points. $$(4,0),(-3,-5),(-1,4),(0,2),(2,-2)$$
Problem 8
Solve. \(4-x=-5\)
Problem 9
Solve. \(3-\frac{1}{4} x=\frac{3}{2}\)
Problem 10
Determine whether the correspondence is a function. Domain= A set of people in a town Correspondence= A doctor a person uses Range= A set of doctors
Problem 11
Determine whether the correspondence is a function. Domain= The integers less than 9 Correspondence= Five times the integer Range= A subset of integers
Problem 12
Determine whether the correspondence is a function. Domain= A set of members of a rock band Correspondence= An instrument each person plays Range= A set of instruments
Problem 13
Solve and graph the solution set. $$-\frac{3}{4} x \geq-\frac{5}{8}+\frac{2}{3} x$$
Problem 13
Solve. \(8=5 x-3\)
Problem 14
Use substitution to determine whether the given ordered pairs are solutions of the given equation. $$\left(0, \frac{3}{2}\right),\left(\frac{2}{3}, 1\right) ; 3 m+4 n=6$$