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WorksheetsFunctions...
Total questions: 100
Worksheet time: 5hrs 35mins
Name
Class
Date
1.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
2.
a)
Function
b)
Not a Function
3.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
4.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
5.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
6.
Which of these is NOT the same
a)
Range
b)
Input
c)
Dependent Value
d)
Y-Value
7.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
8.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
9.
a)
8
b)
-24
c)
24
d)
-22
10.
a)
27
b)
21
c)
24
d)
72
11.
a)
24
b)
-6
c)
32
d)
36
12.
a)
30
b)
62
c)
14
d)
32
13.
What is the algebraic equation for this table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
14.
Which equation matches the table?
a)
y = x
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
15.
What are the independent quantities in the table?
a)
{5,6,7,8,9}
b)
{0,1,2,3,4}
c)
x
d)
y
16.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
17.
Which function is linear?
a)
y = 2x + 4
b)
y = 2x2 + 4
c)
y = 2x(4 − 3x)
d)
xy = 15
18.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
19.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
20.
What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
a)
-4, 4, 8, 9
b)
-2, 3, 8, 10
c)
(9, -2) ( 4, 3)
d)
(8, 10) (-4, 8)
21.
A set of ordered pairs is called what?
a)
Coordinates
b)
Relation
c)
Function
d)
Vertical Line Test
22.
Given the points (3, 5) (2, 4) (9, 0) and (?, 6). What could replace the ? to create a non-function?
a)
1
b)
3
c)
4
d)
7
23.
Give the domain and range. Tell if it is a function.
a)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function
R: {-2, -2, 1, 1}
Function
b)
D: {-4, -2, 0, 2}
R: {-2, 1}
Function
R: {-2, 1}
Function
c)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function
R: {-2, -2, 1, 1}
Not a Function
d)
D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function
R: {-2, 1}
Not a Function
24.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
25.
If f(x)=2x+25, find f(5).
a)
f(5) = 60
b)
f(5) = 40
c)
f(5) = -15
d)
f(5) = 35
26.
Express the following in Interval Notation
-8 ≤ x < 8
-8 ≤ x < 8
a)
[-8, 8]
b)
[-8,8)
c)
(-8, 8]
d)
(-8, 8)
27.
Express the following in Interval Notation
-9 < x ≤ -4
-9 < x ≤ -4
a)
[-9, -4]
b)
(-9,-4]
c)
[-9, -4]
d)
(-9,-4)
28.
Express the following in Interval Notation
-9 < x ≤ -4
-9 < x ≤ -4
a)
[-9, -4]
b)
(-9,-4]
c)
[-9, -4]
d)
(-9,-4)
29.
Express the following interval in Set notation:
(-7, 15]
(-7, 15]
a)
-7 ≤ x ≤ 15
b)
-7 < x ≤ 15
c)
-7 ≤ x < 15
d)
-7 < x < 15
30.
Express the following interval in Set notation:
[3, 5]
[3, 5]
a)
3 ≤ x ≤ 5
b)
3 < x ≤ 5
c)
3 ≤ x < 5
d)
3 < x < 5
31.
Look at the graph. Write the inequality in interval notation.
a)
(-2,5)
b)
(-∞,-2)⋃(5,∞)
c)
[-2,5]
d)
(-∞,-2]∪[5,∞)
32.
Write the following in interval notation
x < 3 or x ≥ 5
x < 3 or x ≥ 5
a)
(3, -∞) or (∞, 5]
b)
[-∞, 3) or [5, ∞]
c)
(-∞, 3) or [5, ∞)
d)
(3, -∞] or [∞, 5]
33.
Write the following solution in set builder notation:
x ≥ -2
a)
{ x | x ≥ 2 }
b)
{ x | x ≥ -2 }
c)
{ x ≥ -2 }
d)
{ x | x ≤ -2 }
34.
Write the set of numbers inset-builder notation.
(22, 98]
(22, 98]
a)
{x ∣ 22 < x ≤ 98 }
b)
{x ∣ 22 ≤ x ≤ 98 }
c)
{x ∣ 22 ≤ x < 98 }
d)
{x ∣ 22 < x < 98 }
35.
Express the following interval in Set notation:
[3, 5]
[3, 5]
a)
{ x | 3 ≤ x ≤ 5 }
b)
{ x | 3 < x < 5 }
c)
{ x | 3 ≤ x ≥ 5 }
d)
{ x | 3 < x > 5 }
36.
In the picture, what does the coordinate (0, -2), where the parabola crosses over the y-axis, represent?
a)
the x-intercept
b)
the minimum
c)
the axis of symmetry
d)
the y-intercept
37.
On a graph, the value of x at the point where the line crosses the x-axis. Represented on B by the points (-2, 0) and (2,0) and on A by the origin.
a)
x-intercepts
b)
y-intercepts
c)
vertex
d)
axis of symmetry
38.
The minimum of a quadratic function is
a)
The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing
b)
The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing
39.
The maximum of a quadratic function is
a)
The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing
b)
The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing
40.
The point in which a graph hits the x-axis is know as the _____
a)
Solution
b)
x-intercept
c)
Root
d)
All answers are correct
41.
the turning point of the parabola
a)
Parabola
b)
Axis of Symmetry
c)
Vertex
d)
Solutions
42.
What is the y intercept for the equation:
y = -8x2 + 3x - 7
y = -8x2 + 3x - 7
a)
(0, -8)
b)
(0, 3)
c)
(0, 7)
d)
(0, -7)
43.
If given the equation
y = 3(x + 5)2 - 4, what is the vertex of the parabola?
y = 3(x + 5)2 - 4, what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
44.
What are the
x-intercepts of the function
f(x)= (x - 2)(x + 3)?
x-intercepts of the function
f(x)= (x - 2)(x + 3)?
a)
x = - 2 or x = 3
b)
x = 2 or x = -3
c)
The are no real roots
d)
x = 2 or x = 3
45.
Where does the graph
y=3(x-1) 2 - 8 increase?
y=3(x-1) 2 - 8 increase?
a)
(-∞,8)
b)
(8,∞)
c)
(-∞,1)
d)
(1,∞)
46.
Compare the function y = 5x2 to the parent function y = x2
a)
Wider
b)
Narrower
47.
Describe the transformation of y = x2 + 4
a)
Shift UP
b)
Shift DOWN
c)
Shift LEFT
d)
Shift RIGHT
48.
Describe the transformation of y = (x - 4)2
a)
Shift UP
b)
Shift DOWN
c)
Shift LEFT
d)
Shift RIGHT
49.
Describe the transformation of y = x2 - 5
a)
Shift UP
b)
Shift DOWN
c)
Shift LEFT
d)
Shift RIGHT
50.
Describe the transformation of y = (x + 7)2
a)
Shift UP
b)
Shift DOWN
c)
Shift LEFT
d)
Shift RIGHT
51.
Which function has a translation of 3 units to the left?
a)
f(x) = 3x2+1
b)
f(x) = (x + 3)2 + 1
c)
f(x) = (x - 3)2 + 1
d)
f(x) = (x + 1)2- 3
52.
Which function has a translation of 2 units right and a vertical stretch by a factor of 5?
a)
f(x)= 5(x - 2)2
b)
f(x) = 5(x + 2)2
c)
f(x) = (x - 2)2 - 5
d)
f(x) = (x + 2)2 + 5
53.
Which function has a translation of 7 units down and reflects over the x-axis?
a)
f(x) = -(x - 7)2 + 1
b)
f(x) = (x + 7)2 + 1
c)
f(x) = -(x - 1)2 - 7
d)
f(x) = (x + 1)2 - 7
54.
What describes the effect on the graph of the equation y = 3x2 when it is changed to y = -¾x2?
a)
The graph is congruent and is translated down.
b)
The graph is wider and opens downward.
c)
The graph is congruent and is translated up.
d)
The graph is narrower and opens downward.
55.
Consider a parabola that opens upward and has a vertex (-1, 3). Now find the equation of a new parabola that is reflected over the x-axis and translated 2 units down.
a)
y = -(x - 3)2 + 3
b)
y = -(x - 1)2 +2
c)
y = -(x + 1)2 + 1
d)
y = -(x + 1)2 - 2
56.
Which quadratic is the narrowest graph?
a)
y = 3x2
b)
y = 4x2
c)
y = 2x2
57.
Comparing the functions, which is the most narrow?
a)
f(x)=3x2
b)
g(x)= -2x2
c)
h(x)=0.5x2
d)
a(x)=12x2
58.
Which function's graph is the result of shifting the graph of f(x)=-x2-4 3 units down?
a)
g(x)=-x2-1
b)
g(x)=-4x2-4
c)
g(x) = -1/3x2-4
d)
g(x)=-x2-7
59.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
60.
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
61.
Does the graph represent an exponential growth or an exponential decay function?
a)
Exponential Growth
b)
Exponential Decay
62.
What does the y-intercept of the graph represent?
a)
The amount of grams the material is gaining.
b)
The amount of grams the material is losing.
c)
The amount of grams remaining after so many years.
d)
The initial amount of grams.
63.
Which of the following is an increasing exponential function whose y-intercept is 50?
a)
y = 50(.05)x
b)
y = 50x - 4
c)
y = (2)x + 50
d)
y = 50(1.4)x
64.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
65.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
66.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
67.
How many Harry Potter movies are there?
a)
5
b)
9
c)
8
d)
7
68.
You invest $400 for 5 years and the interest rate is 4.29% each year.
a)
y=400(1 - 0.0429)5
b)
y=400(1+.0429)5
c)
y=400(1+ 4.29)5
d)
y=400e0.049*5
69.
What is the domain of y=2x?
a)
x>0
b)
x=all real numbers
c)
y>0
d)
y=all real numbers
70.
What is the range of y=2x?
a)
x>0
b)
x=all real numbers
c)
y>0
d)
y=all real numbers
71.
What is the horizontal asymptote for the graph of
f(x)=-2(3)x+4-8 ?
f(x)=-2(3)x+4-8 ?
a)
y=8
b)
y=-8
c)
x=-8
d)
x=-4
72.
Describe the transformation of
f(x)=-2(3)x+4-8 ?
a)
right 4, down 8, stretch by a factor of 2, reflect over x-axis
b)
left 4, down 8, stretch by a factor of 2, reflect over x-axis
c)
left 4, up 8, compress by a factor of -2
d)
right 4, down 8, stretch by a factor of 2, reflect over x-axis
73.
Describe the transformation of y = 2x - 3
a)
left 3
b)
down 3
c)
up 3
d)
right 3
74.
Which graph represents exponential growth?
a)
b)
c)
d)
75.
Find m∠N
a)
14
b)
65
c)
76
d)
53
76.
A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?
a)
39.6
b)
6.0
c)
14.8
d)
13.6
77.
What is the amplitude of the graph?
a)
1
b)
3
c)
6
d)
9
78.
What is the period of this equation?
y = -5sin(3x)
y = -5sin(3x)
a)
-5
b)
2pi/3
c)
2pi/5
d)
3
79.
What is the amplitude of this equation?
y = -10cos(5x)
y = -10cos(5x)
a)
-10
b)
5
c)
2pi/5
d)
10
80.
What is the period?
a)
π/4
b)
π/2
c)
3π/4
d)
2π/3
81.
What does a negative A value cause?
a)
A negative amplitude
b)
A reflection across the Y axis
c)
No effect
d)
A reflection across X axis
82.
f(x) = -4x - 12
What is f-1(x)?
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
83.
Which is f -1(x)?
a)
f -1(x) = 5x + 3
b)
f -1(x) = 5x - 3
c)
f -1(x) = 5x - 15
d)
f -1(x) = 1/5(x) + 3/5
84.
Which is f -1(x)?
a)
f -1(x) = 3x + 5
b)
f -1(x) = 3x - 5
c)
f -1(x) = 3x - 15
d)
f -1(x) = 3x + 15
85.
How must the domain of f(x) be restricted such that g(x)=f-1(x) ?
a)
x ≤ 0
b)
x ≥ 0
c)
x ≤ 3
d)
x ≥ 3
86.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
87.
Determine f-1(2) given the following information about an invertible function, f(x)
f(1) = -3
f(2) = -2
f(-1) = 2
f(3) = -1
f(1) = -3
f(2) = -2
f(-1) = 2
f(3) = -1
a)
1
b)
-1
c)
2
d)
-2
88.
Find the inverse of f(x) = x2 - 5
a)
f-1(x) = √(x) + 5
b)
f-1(x) = ∛(x-5)
c)
f-1(x) =√(x+5)
d)
f-1(x) = x2 - 5
89.
If f-1(-25) = 7 then what is f(7) =
a)
25
b)
7
c)
No enough information.
d)
-25
90.
Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))
and g(x) = x - 2
Find f(g(5))
a)
19
b)
23
c)
-10
d)
None of these.
91.
f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))
g(x) = x - 2
Find g(f(-10))
a)
-42
b)
-26
c)
-18
d)
None of these.
92.
What is f(g(3))?
a)
1/8
b)
8
c)
1/4
d)
1/2
93.
Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of g(f(-2)).
a)
-14
b)
20
c)
6
d)
7
94.
a)
9 - √17
b)
4
c)
2
d)
√8
95.
Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of f(g(4)).
a)
182
b)
40
c)
61
d)
None of the Above
96.
f(x) = x2 + 3
g(x) = 4x - 3
Find (fg)(-1)
g(x) = 4x - 3
Find (fg)(-1)
a)
4
b)
-52
c)
-4
d)
52
97.
(L3) Given f(x)= x2 + 25 and g(x)= x - 5, find (f+g)(x).
a)
x2 + x - 20
b)
x2 + x + 20
c)
-x2 + x - 20
d)
x2 - x - 20
98.
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f - g)(x).
a)
x2 + 8x + 1
b)
x2 + 6x - 1
c)
5x2 + 8x - 1
d)
x2 + 8x -1
99.
f(n)=2n+1
g(n)=3n
Find f(n)+g(n)
g(n)=3n
Find f(n)+g(n)
a)
5n+1
b)
-5n+1
c)
-2n+1
d)
-6n-1
100.
Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x
and
g(x) = 4x
a)
8x - 32
b)
8x2 - 32x
c)
8x - 8
d)
6x - 8
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