Name
Period
Date
A2 Chapter 2 Test
Find the domain and range of each relation, and determine whether it is a function.
1. {(2, 1), (–4, 5), (1, 7), (2, -3), (–1, 2)}
Domain : _________________ Range : ____________________ Is it a Function? __________
2. Suppose f(x) = 3x – 4. Find f(2) and f(-2/3).
3. a) If y varies directly with x, find k when y = 2 when x = 6.
b) What is y when x is ¾?
4. Find the slope of the line through (–2, 7) and (4, 1)
5. Find the slope of the line perpendicular to y 
3
1
x
2
4
Slope = _______
Slope = _______
6. a) Find the equation of the line with the given slope through the given point.
1
slope  ;(4,3)
4
b) Write the equation of the line in Standard Form. ____________________________
7. Write the equation of the line through the pair of points.
(1, 5) and (–3, 3)
8. How has the function, y  x  3  2 , changed from the original function, 𝑦 = |𝑥|?
9. Graph 𝑦 = −2|𝑥 − 1| + 3 and 𝑦 = |𝑥| on the same graph.
Graph each inequality.
10. 2x + 3y ≥ –6
11. y  x 1 1
12. Suppose you manufacture and sell tarps. The table at the right
displays your current sizes and prices.
a. Draw a scatter plot showing the relationship between the area of a tarp and its price. Use area as the
independent variable.
b. Draw a trend line and write the equation.
Size (ft2) Price
c. Is this an accurate model? Explain.
35
$1.39
d. Using your model, predict the price of 250 ft2 tarp.
48
$1.99
80
120
192
200
320
$3.19
$4.79
$7.69
$7.99
$12.79