CHAPTER TWO REVIEW
QUESTION ONE
Is the relation a function?
Why or why not?
QUESTION ONE
Is the relation a function?
Why or why not?
No, (2,2) and (2,1) have
the same input, but
different outputs.
Q UESTION TWO
Is the relation a function? Why or why not?
(1,2), (2,3), (3,4), (4,5), (5,6)
Q UESTION TWO
Is the relation a function? Why or why not?
(1,2), (2,3), (3,4), (4,5), (5,6)
Yes, for each input, there is exactly one output.
QUESTION THREE
Find the domain and range of the relation.
(5,0),(8,3), (1,3), (-5,2), (3,8)
QUESTION THREE
Find the domain and range of the relation.
(5,0),(8,3), (1,3), (-5,2), (3,8)
Domain: -5, 1, 3, 5, 8
Range:
0, 2, 3, 8
QUESTION FOUR
Given f(x) = -2x – 4 and g(x) = -x – 6.
Find f(2) + g(-6)
QUESTION FOUR
Given f(x) = -2x – 4 and g(x) = -x – 6.
Find f(2) + g(-6)
f(2) + g(-6) = -8
QUESTION FIVE
Are the lines parallel or perpendicular? Why?
y = 2x + 6
2x – y = 7
QUESTION FIVE
Are the lines parallel or perpendicular? Why?
y = 2x + 6
2x – y = 7
The lines are parallel, because the slopes are
the same.
QUESTION SIX
Are the lines parallel or perpendicular? Why?
3x + 6y = 12
y = 2x + 8
QUESTION SIX
Are the lines parallel or perpendicular? Why?
3x + 6y = 12
y = 2x + 8
The lines are perpendicular, because the
slopes are negative reciprocals of each other.
QUESTION SEVEN
Write the equation of the line given m = 2 and
through (3,4) in point-slope form,
slope-intercept form and standard form.
QUESTION SEVEN
Write the equation of the line given m = 2 and
through (3,4) in point-slope form,
slope-intercept form and standard form.
(y – 4) = 2(x – 3)
y = 2x – 2
-2x + y = -2
QUESTION EIGHT
Write the equation of the line through (-4, 6)
and perpendicular to y = -2x + 7 in point-slope
form, slope-intercept form and standard form.
QUESTION EIGHT
Write the equation of the line through (-4, 6)
and perpendicular to y = -2x + 7 in point-slope
form, slope-intercept form and standard form.
(y – 6) = ½(x + 4)
y=½x+8
-½x + y = 8
QUESTION NINE
Given 2y = -4x – 12, find the slope, x-intercept,
y-intercept and then graph.
QUESTION NINE
Given 2y = -4x – 12, find the slope, x-intercept,
y-intercept and then graph.
Slope is -2
x-intercept is (-3,0)
y-intercept is (0, -6)
QUESTION TEN
Graph: 2x – 3y > -12
QUESTION TEN
Graph: 2x – 3y > -12
QUESTION ELEVEN
Graph: y = |x – 4| + 2
QUESTION ELEVEN
Graph: y = |x – 4| + 2
QUESTION TWELVE
Solve and graph:
-16 < -3x – 5 < 4
QUESTION TWELVE
Solve and graph:
-16 < -3x – 5 < 4
11
3  x 
3
3
11
3
QUESTION THIRTEEN
Solve and graph:
-3|4x – 1| - 6 = -9
QUESTION THIRTEEN
Solve and graph:
-3|4x – 1| - 6 = -9
1
x  0,
2
0
1
2
QUESTION FOURTEEN
At the beginning of week 7, the math teacher
has 250 pencils. At the beginning of week 10,
the teacher has 220 pencils.
a)Write an equation to model the number of
pencils the teacher has after x weeks.
b)How many pencils will the teacher have after
18 weeks?
QUESTION FOURTEEN
At the beginning of week 7, the math teacher
has 250 pencils. At the beginning of week 10,
the teacher has 220 pencils.
a)Write an equation to model the number of
pencils the teacher has after x weeks.
y= -10x +320
b)How many pencils will the teacher have after
18 weeks?
140 pencils