Unit Review: Functions

T.1Write function or not a function.

1. 1
   $\{(-4,-4),(6,5),(4,-6),(2,-2),(0,3)\}$ 
2. 2
   $\{(-7,-2),(1,3),(-4,9),(-5,6),(-7,3)\}$ 

T.2Evaluate each function.

1. 3
   $f(x)=-\frac{1}{2}x+2$; $f(4)=$ 
2. 4
   $f(x)=\frac{3}{2}x-6$; $f(0)=$ 

T.3Complete each table.

1. 5
   $y=3x$ $\begin{array}{cccccc}x& 2& 5& 7& 10& 11\\ y& & 15& & & 33\end{array}$
2. 6
   $y=6x$ $\begin{array}{cccccc}x& 1& 4& 6& 7& 10\\ y& & 24& & 42& \end{array}$

T.4Write a linear function y = mx + b for each table.

1. 7
   $\begin{array}{ccccc}x& 1& 3& 4& 7\\ y& 7& 3& 1& -5\end{array}$
2. 8
   $\begin{array}{ccccc}x& 2& 5& 6& 8\\ y& 15& 33& 39& 51\end{array}$

T.5Write a linear function for each situation.

1. 9
   A tank holds $850$ gallons of water and drains $35$ gallons per minute. Write the water left $y$ after $x$ minutes.
2. 10
   A tank holds $250$ gallons of water and drains $30$ gallons per minute. Write the water left $y$ after $x$ minutes.

T.6Write linear or nonlinear.

1. 11
   $\begin{array}{ccccc}x& -1& 0& 1& 2\\ y& 3& 0& -1& 0\end{array}$ 
2. 12
   $\begin{array}{ccccc}x& 1& 3& 5& 7\\ y& 1& 9& 25& 49\end{array}$ 

T.7Write the domain and range of each relation.

1. 13
   $\{(-5,-3),(5,7),(2,-3),(-1,6),(0,3)\}$
2. 14
   $\{(-5,7),(2,3),(-8,-3),(-8,-8),(3,7)\}$

T.1Identify Functions

1. 1function
2. 2not a function

T.2Evaluate Functions

1. 3$0$
2. 4$-6$

T.3Complete Function Tables

1. 5$6$, $21$, $30$
2. 6$6$, $36$, $60$

T.4Write a Linear Function from a Table

1. 7$y=-2x+9$
2. 8$y=6x+3$

T.5Write Linear Functions from Situations

1. 9$y=-35x+850$
2. 10$y=-30x+250$

T.6Linear or Nonlinear Functions

1. 11nonlinear
2. 12nonlinear

T.7Domain & Range

1. 13domain $\{-5,-1,0,2,5\}$, range $\{-3,3,6,7\}$
2. 14domain $\{-8,-5,2,3\}$, range $\{-8,-3,3,7\}$