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WorksheetsMath 3 Functions Review
Total questions: 65
Worksheet time: 2hrs 51mins
Name
Class
Date
1.
Which ordered pair could represent a
y-intercept on a graph?
y-intercept on a graph?
a)
(6, 0)
b)
(0, 4)
c)
(-1, 3)
d)
(2, 0)
2.
What is the minimum of this graph?
a)
(-2,6)
b)
(-0.5,-3.5)
c)
(-1,-3)
d)
(3,0)
3.
a)
Function
b)
Not a Function
4.
On what interval is the graph decreasing?
a)
(∞, 3)
b)
(3, -∞)
c)
(3, ∞)
d)
(-∞, 3)
5.
On which interval is the graph increasing?
a)
[-5,-3]
b)
[-3,-1]
c)
[1,4]
d)
[5,∞)
6.
On which interval is the graph decreasing?
a)
[-5,-3]
b)
[-3,-1]
c)
[1,4]
d)
[5,∞)
7.
On which interval is the graph constant?
a)
[-5,-3]
b)
[-3,-1]
c)
[1,4]
d)
(-∞,-5]
8.
What is the maximum?
a)
None
b)
(0,4)
c)
(3,1)
d)
y = -1
9.
What is the minimum?
a)
None
b)
(0,4)
c)
(3,1)
d)
y = -1
10.
What is the domain of the function?
a)
(-∞,5]
b)
(-∞,5)
c)
(-∞,2]
d)
(-∞,2)
11.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and
x→ ∞, y→⁻∞
x→ ∞, y→⁻∞
b)
x → ∞, y→ ∞ and
x→⁻∞, y→∞
x→⁻∞, y→∞
c)
None of these
d)
x →∞,y→⁻∞ and
x→∞, y→⁻∞
x→∞, y→⁻∞
12.
Describe the end behavior of the graph.
a)
x →∞, y→∞ and x→∞, y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→0
d)
x →∞,y→0 and x→∞, y→⁻∞
13.
Describe the end behavior of the graph.
a)
x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→2
d)
x →∞,y→2 and x→⁻∞, y→∞
14.
The function shown in the graph is:
a)
even
b)
odd
c)
neither even nor odd
d)
both even and odd
15.
The function in the graph is:
a)
even
b)
odd
c)
neither even nor odd
d)
both even and odd
16.
The function shown in the graph is:
a)
even
b)
odd
c)
neither odd nor even
d)
both odd and even
17.
Is the graph an even, odd, or neither function?
a)
Even
b)
Odd
c)
Neither
18.
Even, odd, or neither?
a)
Even
b)
Odd
c)
Neither
19.
Is the function even, odd, or neither?
f(x) = 4x3
a)
Even
b)
Odd
c)
Neither
20.
Which one of the following functions is even?
a)
f(x) = x⁴ + x³
b)
g(x) = x⁴ + x²
c)
h(x) = x⁵ + x³
d)
k(x) = x³ + x
21.
What are the transformations of this functions compared to the parent function y = √(x)?
a)
Shifted right 5, shifted down 2, and reflected over the x-axis
b)
Reflected over the x-axis, vertical stretch, and shifted right 5
c)
Reflected over the x-axis, vertical stretch, and shifted left 5
d)
Shifted right 5, shifted down 2
22.
Describe the transformation of y = f(x) for the new function
y = f(x) - 5
y = f(x) - 5
a)
The graph of y = f(x) was shifted to the right 5 units.
b)
The graph of y = f(x) was shifted to the left 5 units.
c)
The graph of y = f(x) was shifted up 5 units.
d)
The graph of y = f(x) was shifted down 5 units.
23.
Which equation describes the transformation of shifting f(x)=x2 two units right?
a)
x2 + 2
b)
x2 - 2
c)
(x + 2)2
d)
(x - 2)2
24.
Describe the transformation of y = f(x) for the new function
f(x) = ⅔(x - 7)2
f(x) = ⅔(x - 7)2
a)
Vertical Shrink of ⅔ Right 7
b)
Horizontal Shrink of ⅔ Right 7
c)
Horizontal Stretch of ⅔ Right 7
d)
Vertical Stretch of ⅔ Left 7
25.
Given f(x) = (x-3)2 + 5. What transformations took place from the original function f(x)?
a)
Left 3 and up 5
b)
Right 3 and down 5
c)
Left 3 and down 5
d)
Right 3 and up 5
26.
Describe the transformation of y = f(x) to the new function
y = f(1/5x)
y = f(1/5x)
a)
Horizontal shrink by a factor of 1/5
b)
Vertical stretch be a factor of 5
c)
Vertically shrink by a factor of 1/5
d)
Horizontal stretch by a factor of 5
27.
a)
f(x)=3∣x−2∣−2
b)
f(x)=1/3∣x+2∣−2
c)
f(x)=3∣x+2∣−2
d)
f(x) = 1/3∣x−2∣+2
28.
What is the equation of the graph?
a)
y = √(x - 3)
b)
y = √(x) + 3
c)
y = √(x - 5) + 4
d)
y = √(x + 5) + 4
29.
Which equation represents this graph.
a)
f(x)=(x - 4)2 - 3
b)
f(x)=-(x - 4)2 + 3
c)
f(x)=(x - 4)2 + 3
d)
f(x)=-(x + 4)2 + 3
30.
What type of function is shown?
a)
linear
b)
quadratic
c)
square root
d)
absolute value
31.
How do I add this fraction?
a)
11/15
b)
3/8
c)
3/15
d)
11/8
32.
Which is the greater integer?
-4 or -6
-4 or -6
a)
-4
b)
-6
33.
Express the following in Interval Notation
-8 ≤ x < 8
-8 ≤ x < 8
a)
[-8, 8]
b)
[-8,8)
c)
(-8, 8]
d)
(-8, 8)
34.
Express the following in Interval Notation
-9 < x < -8.5
-9 < x < -8.5
a)
[-9, -8.5]
b)
[-9, -8.5)
c)
(-9, -8.5]
d)
(-9, -8.5)
35.
(-2,12) can be written in inequality notation as:
a)
-2 < x > 12
b)
-2 > x > 12
c)
-2 < x <12
d)
None of these
36.
Look at the picture. Select the correct interval notation for the given number line.
a)
(-∞, -8) U (-4, ∞)
b)
(-∞, -8] U [-4, ∞)
c)
(-8, -4)
d)
[-8, -4]
37.
What is g(7) if:
a)
-17
b)
-13
c)
13
d)
17
38.
Using the pictured graph, what is f(-3)?
a)
-3
b)
-1
c)
1
d)
3
39.
What is f(-1)?
a)
6
b)
-2
c)
sqrt(2)
d)
DNE
40.
What is the RANGE of the function?
a)
(-∞, +∞)
b)
(-∞, 4]
c)
(-∞, 4)
d)
[0, 4]
41.
What is the DOMAIN of the function?
a)
(-∞, +∞)
b)
(-∞, 4]
c)
(-∞, 4)
d)
[0, 4]
42.
Which piecewise function corresponds to this graph? (Take your time)
a)
f(x) = { x if x < 4; -x+1 if x ≥ 4
b)
f(x) = { x if x ≤ 4; -x+1 if x > 4
c)
f(x) = { -x+1 if x < 4; x if x ≥ 4
d)
f(x) = { -x+1 if x ≤ 4; x if x > 4
43.
Which graph matches:
4-x for x<2
2x-6 for x>=2
4-x for x<2
2x-6 for x>=2
a)
A
b)
B
c)
C
d)
D
44.
What are the domain restrictions for the green piece of this function?
a)
-2 < x ≤ 1
b)
-1 < x ≤ 0.5
c)
x > -2
d)
x ≤ 1
45.
How many pieces is this Piecewise Function composed of?
a)
1
b)
2
c)
3
d)
4
46.
Find f(0)
a)
-3
b)
18
c)
4
d)
0
47.
What is the value of f(0)?
a)
-2
b)
2
c)
4
d)
0
48.
What is Baby's name?
a)
Theresa
b)
Marigold
c)
Amaryllis
d)
Elizabeth
49.
What is Mr. House's favorite Super Hero? (spelling matters)
a)
Spiderman
b)
Spider-Man
c)
Spider Man
d)
SpiderMan
50.
What really grinds Mr. House's Gears?
a)
Tuna Salad that looks like Chicken Salad
b)
When Students Line Up At The Door
c)
When people have "Unappreciated Swag"
d)
Have a class where students have the same name too many times. Example: A class with 3 Rileys.
51.
Choose the lie!
a)
House's opinion: Dogs > Cats
b)
House's opinion: Basketball > Golf
c)
House's opinion: Cheese > Chocolate
d)
House's opinion: DC > Marvel
52.
How do I prefer my coffee?
a)
Black
b)
A little cream and sugar
c)
lots of cream and sugar
d)
Coffee? Who drinks that ?
53.
Which has Mr. House NOT done?
a)
Skydiving
b)
Gotten a ticket for failing to stop at a stop sign
c)
Traveled to Europe
d)
Spent a week backpacking through Yellowstone National Park
54.
Which Math Department Member was a State Qualifying Wrestler in High School?
a)
Mr. House
b)
Mr. Zambole
c)
Mr. Stanich
d)
Mr. Hlinak
55.
What is the directrix of the parabola
(x - 4)2 = 8(y + 3)?
(x - 4)2 = 8(y + 3)?
a)
y = - 3
b)
x= 5
c)
y= - 5
d)
y= 2
56.
What is the focus of the following parabola?
(y + 5)2 = -12 (x - 2)
(y + 5)2 = -12 (x - 2)
a)
(2, - 5)
b)
( -5, 2)
c)
(1 , -5 )
d)
(-1, -5 )
57.
What direction does the parabola open?
(y-9)2 = -40(x+4)
(y-9)2 = -40(x+4)
a)
Up
b)
Down
c)
Left
d)
Right
58.
Which type of conic section is this equation?
a)
circle
b)
ellipse
c)
hyperbola
d)
parabola
59.
What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
(x - 4)2 + (y - 3)2 = 25 ?
a)
Center (4,3)
Radius = 5 units
Radius = 5 units
b)
Center (4,3)
Radius = 25 units
Radius = 25 units
c)
Center (-4,-3)
Radius = 25 units
Radius = 25 units
d)
Center (-4,-3)
Radius = 5 units
Radius = 5 units
60.
Write the equation of a circle with center (7, 0) with radius 3.
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
61.
Write the standard form of the circle by completing the square:
x2 + y2 +10y = 39
a)
x2 + (y+5)2 = 49
b)
x2 + (y+5)2 = 64
c)
(x+5)2 + y2 = 61
d)
(x+5)2 + y2 = 100
62.
The endpoints of a diameter of a circle are (-4,1) and (2,5). Find the center and radius of the circle.
a)
center: (-1,3); r = 2 19
b)
center: (-2,2); r = 2 19
c)
center: (-1,3); r = 19
d)
center: (-2,2); r = 19
63.
Find f(0)
a)
-3
b)
18
c)
4
d)
0
64.
(y-4)2 = -8(x+1)
What are the coordinates for the focus?
What are the coordinates for the focus?
a)
(1,4)
b)
(-1,6)
c)
(-1,2)
d)
(-3,4)
65.
What is the radius of (x + 2)2 +(y - 5)2 = 5
a)
5
b)
25
c)
√5
d)
(-2,5)
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