Algebra II
2.1 - 2.3 Review
Name: _________________________ Period:
Date: _______
1. Find the domain and range of this relation, determine whether it’s a function or not, and draw a
mapping diagram.
(-5, 4), (3, -3), (-4, 4), (-3, -3)
Domain:_______________
Range:________________
Function (Yes/No):______
Mapping Diagram:
2. Write an equation in slope-intercept form for the line passing through the points (3,5) and (1, 7) .
3. Write an equation in standard form of the line with slope = -2 and through the point (-3, 4).
4. Write the equation of the line that passes through the point (6,1) and is perpendicular to the
3
line y  x  2 .
7
5. Given the following functions, f ( x)  4 x 2  5 and g ( x)  9 x  8
a) Find f (2) .
b) Find g (3)  f (1) .
6. 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
a) k = ________
y
24
36
81
363
b) equation = _______________________
7. The distance a train travels varies directly with how long it’s been traveling. A ten year old train
travels 210 miles in 6 hours.
a) Find the variation constant (k).
b) Use it to create an equation that models the data (with “k” included).
c) Use your equation to find out how far the train will travel in 11.35 hours.