Chapter 2 Test – Form A
Name: ___________________
Date:__________
Period:______
For problems 1 and 2, determine whether the relation is a function. If it is, state the
domain and range. If not, state ‘not a function’ and explain why.
1.
(4,2), (3,5), (9,3), (2,4), (3,5)
1.___________(+2)
D:____________
R:____________
2.
5
6
-3
4
-2
9
-1
-3
2. ____________(+2)
D:____________
R:____________
3.
Evaluate f ( x)  3x 2  2 for f(-2)
3.__________ (+2)
Graph the equations
2
4. f ( x)   x  2
(+2)
3
6. Determine the slope of the line passing through
the points (-4, -5) and (-10, -24)
5.  3 x  y  2
(+4)
6.__________ (+2)
7. Write in STANDARD FORM the equation of the line passing through the
point (0,7) with a slope of -3.
7.__________ (+3)
8. Write in Y-INTERCEPT form the equation of the line passing through the
points (-5, 7) and (6, -1).
8.__________ (+3)
9. Write in Y-INTERCEPT form the equation of the line passing through the
point (8, 6) and parallel to y = 5x + 6.
9.__________ (+3)
10. Determine the slope, x-intercept and y-intercept of the line
-8x + 3y = 24
10. m=___________(+3)
x-int___________
y-int___________
11. Suppose y varies directly with x. If y = 5 when x = 4, find y when x = -2
11._________ (+3)
Determine whether y varies directly with x. Circle your answer. If so, find the constant of
variation k and write the equation. SHOW ALL WORK
12.
x
y
4
12
-5
-15
9/2
2/3
1/3
3/2
12.Direct: Yes No (+2)
K=____ Y= ____
13.
x
y
2
-6
4
-12
5
-15
13.Direct: Yes No (+2)
K=____ Y= ____
Describe the translation of the parent function to the following:
14. y  x  2  3
(+2)
15. y  3 x  15
_______________________
(+2)
_______________________
Write an equation for each translation of the parent function y  x
16. 4 units right and 3 units down
Y= ___________
(+2)
17. reflection in the x-axis,
12 units right
(+2)
Y= ___________
18. Graph the set of data. Decide whether a linear model is reasonable. If
so, draw a trend line and write the equation of the trend line.
(-4, 4), (-3, 1), (-1, 3), (0,2), (2, -1), (3, -3), (5, -5)
18._________ (+5)
Graph the following functions.
19. y  x  5
(+2)
20. y  2 x  6
21. 2 y  6 x  5  2
22. y 
(+4)
Write an equation for the graph
23. y ____________ (+3)
5
x 8
3
(+4)
(+2)
24. y ______________
(+2)
25. For the situation, find a linear model (write an equation) and use it to make a
prediction. A 2-mile cab ride costs $8. A 6-mile cab ride costs $17. How much does a
4.5-mile cab ride cost? (+5)