2 Chapter Test

Do you know HOW?

Find the domain and range. Graph each relation.

1. {(0, 0), ( 1 , − 1 ) , ( 2 , − 4 ) , ( 3 , − 9 ) , ( 4 , − 16 ) open 1 comma negative 1 close comma open 2 comma negative 4 close comma open 3 comma negative 9 close comma open 4 comma negative 16 close }
2. {(3, 2), (4, 3), (5, 4), (6, 5), (7, 6)}

Determine whether each relation is a function.

3. 
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Suppose f ( x ) = 2 x − 5 f open x close equals 2 x minus 5  and g ( x ) = | − 3 x − 1 | . g open x close equals vertical line negative 3 x minus 1 vertical line .  Find each value.

5. f(3)
6. f(1) + g(2)
7. g(0)
8. g ( 2 ) − f ( 0 ) g open 2 close minus f open 0 close
9. f ( − 1 ) − g ( 3 ) f open negative 1 close minus g open 3 close
10. 2 g ( − 4 ) 2 g open negative 4 close

Find the slope of each line.

11. through (3, 5), parallel to y = 5 x − 1 y equals 5 , x minus , 1
12. through ( − 0.5 , negative 0.5 comma  0.5), perpendicular to y = − 2 x − 4 y equals negative 2 x minus 4

Write an equation of the line in standard form with the given slope through the given point.

13. slope = − 3 , equals negative 3 comma  (0, 0)
14. slope = 2 5 , 2 fifths , comma  (6, 7)
15. slope = 4, ( − 2 , − 5 ) negative 2 comma negative 5 close
16. slope = − 0.5 , negative 0.5 comma  (0, 6)

Write an equation of the line in point-slope form through each pair of points.

17. (0, 0) and ( − 4 , 7 ) negative 4 comma 7 close
18. ( − 1 , − 6 ) negative 1 comma negative 6 close  and ( − 2 , 10 ) negative 2 comma 10 close
19. (3, 0) and ( − 1 , − 2 ) negative 1 comma negative 2 close
20. (9, 5) and (8, 2)

For each direct variation, find the constant of variation. Then find the value of y when x = − 0.5 . x equals negative 0.5 .

21. y = 4 y equals 4  when x = 0.5 x equals 0.5
22. y = 2 y equals 2  when x = 3 x equals 3

Write an equation of the line with the given slope and y-intercept. Use slope-intercept form. Then rewrite each equation in standard form.

23. m = 3 , b = − 7 m equals 3 comma b equals negative 7
24. m = − 2 , b = 9 m equals negative 2 comma b equals 9
25. m = 1 4 , b = 11 m equals , 1 fourth , comma b equals 11
26. m = − 1 2 , b = 4 m equals negative , 1 half , comma b equals 4

Graph each inequality.

27. y ≥ x + 7 y greater than or equal to , x plus 7
28. y > 2 | x + 3 | − 3 y greater than , 2 vertical line x plus 3 vertical line negative 3
29. 4 x − 3 y < 2 4 x minus 3 y less than 2
30. y ≤ − 1 2 | x + 2 | − 3 y less than or equal to , minus , 1 half , vertical line x plus 2 vertical line negative 3

Do you UNDERSTAND?

31. Open-Ended Graph a relation that is not a function. Find its domain and range.
32. Writing Explain how point-slope form is related to the formula for slope.

Describe each transformation of the parent function y = | x | . y equals vertical line x vertical line . Then, graph each function.

33. y = | x | − 4 y equals vertical line x vertical line negative 4
34. y = | x − 1 | − 5 y equals vertical line x minus 1 vertical line negative 5
35. y = − | x + 4 | + 3 y equals negative vertical line x plus 4 vertical line plus 3
36. y = 2 | x + 1 | y equals 2 vertical line x plus 1 vertical line

37. Recreation The table displays the amounts the Jackson family spent on vacations during the years 2000–2009.

    Family Vacations

    Year	Cost
    2000	$1750
    2001	$1750
    2002	$2000
    2003	$2200
    2004	$2700
    2005	$2750
    2006	$3200
    2007	$2900
    2008	$3100
    2009	$3300

    1. Make a scatter plot of the data.
    2. Draw a trend line. Write its equation.
    3. Estimate the amount the Jackson family will spend on vacations in 2015.
    4. Writing Explain how to use a trend line to make a prediction.

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