WorksheetsFunction Review
Total questions: 60
Worksheet time: 4hrs 25mins
Name
Class
Date
1.
Evaluate f(-2) if f(x) = x + 3
a)
-1
b)
1
c)
5
d)
-5
2.
Evaluate f(-2) if f(x) = x2+ 3
a)
-1
b)
1
c)
7
d)
-7
3.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
4.
What is x if
f(x) = -2?
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
5.
Given f(x) = x2 - 7x
Find f(8).
Find f(8).
a)
f(8) = 8
b)
f(8) = -3584
6.
If h(a) = 3 - 2a2
Find h(-3).
Find h(-3).
a)
33
b)
21
c)
39
d)
-15
7.
Given h(x) = 5 - 9x
Find h(8).
Find h(8).
a)
h(8) = -360
b)
h(8) = -67
8.
Let w(x) = 3x - 7. If w(x) = 14, find x.
a)
7
b)
35
c)
2.33333
d)
-49
9.
H(5) =
a)
5
b)
16
c)
18
d)
20
10.
For what value of t is H(t) = 4" ?
a)
0
b)
1
c)
2
d)
14
11.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
12.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
13.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
14.
Is this set of ordered pairs a function or not a function?
a)
Function
b)
Not a Function
15.
Is this set of ordered pairs a function or not a function?
a)
Function
b)
Not a Function
16.
Is this set of ordered pairs a function or not a function?
a)
Function
b)
Not a Function
17.
Is this set of ordered pairs a function or not a function?
a)
Function
b)
Not a function
18.
If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?
g(x) = 3 - x,
what is g(-4) + f(1)?
a)
7
b)
-2
c)
-9
d)
-10
19.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
20.
What is the function of the table?
a)
y=x*2
b)
y=x+2
c)
y=x/2
d)
y=x-2
21.
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.
22.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
23.
A relation where every input in matches with exactly one output is called what?
a)
Relation
b)
Linear
c)
Exponential
d)
Function
24.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
25.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
26.
For h(x) = x3 + 2x, find h(4).
a)
20
b)
14
c)
64
d)
72
27.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
28.
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}
29.
a)
Function
b)
Not a Function
30.
a)
Function
b)
Not a Function
31.
What is the domain of the function?
a)
D:{ x is greater than or equal to 3}
b)
D:{x is less than or equal to 3}
c)
D:{all real numbers}
d)
D:{ x is all real numbers between and including -1 and 5}
32.
Identify the domain of the following relation:
a)
-6, 14, 2, 28
b)
(-6,14), (0,32), (2,38), (4,44)
c)
-6, 0, 2, 4
d)
14, 32, 38, 44
33.
What is the range of the following graph?
a)
-5, -1, 0 , 1, 5
b)
-4, -2, 0, 3, 6
c)
(-4, 1) ( 6, 0)
d)
(6, 0)
34.
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)
35.
What is the range of the following graph?
a)
all real numbers
b)
all integers
c)
any real number greater than zero
d)
it can not be determined
36.
What is the slope of the line passing through the points (3,5) and (-1,7)?
a)
-1/2
b)
-1
c)
-2
d)
1/2
37.
What is the equation for the line that passes through the points (4,2) and (0,6)?
a)
y = x + 6
b)
y = -2x + 2
c)
y = -x - 6
d)
y = -x + 6
38.
What is the equation for the line with a slope of 7 and passes through (0,1)?
a)
y = -7x + 1
b)
y = 7x + 1
c)
y = -1/7x - 1
d)
y = -1/7x + 1
39.
What is the equation of this line?
a)
0
b)
undefined
c)
y = -2
d)
x = -2
40.
What is the equation of the line that has a slope of 5 and goes through the point (2,7)?
a)
y = 5x + 3
b)
y = 1/5x - 3
c)
y = 1/5x + 3
d)
y = 5x - 3
41.
What is the equation of the line that has a slope of 3 and goes through the point (5,4)?
a)
y = 3x - 11
b)
y = 3x + 11
c)
x = 3
d)
y = -3x - 11
42.
Name the x- and y-intercepts for the equation:
2x + y = 6
2x + y = 6
a)
(0, 3) and (6, 0)
b)
(0, -3) and (-6, 0)
c)
(3, 0) and (0, 6)
d)
(-3, 0) and (0, -6)
43.
Find the slope and y-intercept:
6x + -2y = 18
a)
slope = -6, y-intercept = -2
b)
slope = -3, y-intercept = 9
c)
slope = 3, y -intercept = -9
d)
slope = 6, y-intercept = 3
44.
Identify the form of line of the following equation:
y - 6 = -(x+5)
y - 6 = -(x+5)
a)
Point Slope
b)
Slope Intercept
c)
Standard
45.
Identify the form of line of the following equation:
4x + 5y = 6
4x + 5y = 6
a)
Standard
b)
Slope Intercept
c)
Point Slope
46.
Find the slope of the equation:
y - 4 = -2(x+3)
y - 4 = -2(x+3)
a)
m = -2
b)
m = 2
c)
m = -4
d)
m = 3
47.
Given the point (3,4) and m=4, write the equation of the line in point slope form.
a)
y - 4 = 4(x-3)
b)
y + 4 = 4(x+3)
c)
y = 4x + 4
d)
y = 4x + 3
48.
Given the point (-2,5) and m=-6, write the equation of the line in point slope form.
a)
y - 5 = -6(x+2)
b)
y + 5 = -6(x-2)
c)
y + 5 = 6(x-2)
d)
y = -6x + 5
49.
Put the following equation into slope intercept form (solve for y):
4x-2y=6
4x-2y=6
a)
y = 2x - 3
b)
y = 2x + 3
c)
y = 4x - 6
d)
y = 4x + 3
50.
What kind of correlation?
a)
Positive
b)
Negative
c)
No
51.
What kind of correlation?
a)
Positive
b)
Negative
c)
No
52.
What kind of correlation?
a)
Positive
b)
Negative
c)
No
53.
The height of a water balloon that is launched into the air is given by h(t) = -5x2+20x+25. When will the balloon explode on the ground?
a)
5 seconds
b)
1 second
c)
2 seconds
d)
3 seconds
54.
The height of a water balloon that is launched into the air is given by h(t) = -5t2 + 40t + 2. From what height was the balloon released?
a)
2 meters
b)
5 meters
c)
40 meters
d)
20 meters
55.
If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation
h(t) = -16t2 +128t
When will the object reach its maximum height?
h(t) = -16t2 +128t
When will the object reach its maximum height?
a)
4 ft
b)
0 seconds
c)
0 ft
d)
4 seconds
56.
Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.
h = -5t2 + 45
When is the ball at ground level?
h = -5t2 + 45
When is the ball at ground level?
a)
only at t = 0 seconds
b)
only at t = 3 seconds
c)
only at t = 9 seconds
d)
at both t = 0 seconds and t = 3 seconds
57.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
a)
10 seconds
b)
64 seconds
c)
960 seconds
d)
2 seconds
58.
The data in the table represents a linear relationship between altitude and temperature.
a)
y = -0.14x + 74.88
b)
y = -0.14x - 74.88
c)
y = 0.14x + 74.88
d)
y = -2.35x2 - 0.09x + 73.79
59.
Based on the table, which function can best be used to model this situation?
a)
h(t) = 99t2 + 858
b)
h(t) = -4.9t2 + 295t + 0.6
c)
h(t) = -4.9t2 + 295t + 2
d)
h(t) = 99t2 + 1,470.3
60.
Which of the following quadratic equations best represents the following data?
a)
y = 7x2 - 3x
b)
y = 3x2 - 2x + 1
c)
y = 6x2 + 3x - 2
d)
y = 7x2 - 3x + 1
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