# Algebra II 2.1-2.3 Review Name: _____________________________

```Algebra II
2.1-2.3 Review
Name: _____________________________
Date: _______
1. Write the equation of the line that passes through the point (6,1) and is perpendicular
3
to the line y  x  2 .
7
2. Write a rule for a piecewise function for this graph.
3. Find f(-2) for the following function, f ( x)  4 x 2  5 .
4. At a movie theater, student tickets are sold for \$5.50 each.
a. Write an equation that models the income y from the sale of x student tickets.
b. How many student tickets must be sold to have \$1836 in student ticket sales?
5. Determine whether y varies directly with x. If so, find the variation constant k and
write the equation that models the data.
x
8
12
27
121
y
24
36
81
363
6. Sketch a piecewise function (label the important points).
2
x  2

f ( x)  
 x  4
8
x4
4 x8
8  x  12
x  12
7. Write an equation in slope-intercept form for the line passing through
the points (3,5) and (1, 6) .
```