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WorksheetsGraphing Linear Functions
Total questions: 39
Worksheet time: 2hrs 49mins
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.
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.
3.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
4.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
5.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
6.
Is this table a function or not a function?
a)
Function
b)
Not a Function
7.
Evaluate f(-2) if f(x) = x2+ 3.
a)
-1
b)
1
c)
7
d)
-7
8.
Given f(x) = x2 - 7x, find f(8).
a)
f(8) = 8
b)
f(8) = -3584
9.
If f(x) = x - 5, what is the value of x when f(x) = 15?
a)
20
b)
10
c)
5
d)
0
10.
f(x) is the same thing as ______.
a)
y
b)
x
c)
input
d)
an equation
11.
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}
12.
What is the domain of the graph?
a)
1≤ x ≤ 4
b)
1 < x < 4
c)
1≤ y ≤ 4
d)
1 < y < 4
13.
What is the RANGE of this graph?
a)
-7<x<5
b)
-7≤x<5
c)
-3<x<1
d)
-3≤x<1
14.
What is the Range of this linear function?
a)
-6 ≤ y ≤ 6
b)
0 ≤ y ≤ 6
c)
No Solution
d)
4 ≤ y ≤ 3
15.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
16.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined
17.
What is the y-intercept?
a)
-1
b)
3
c)
-3
d)
-2
18.
What is the x- intercept of the line?
a)
(0,-1)
b)
(-2,0)
c)
(-1,0)
d)
(0,-2)
19.
What is the x-intercept?
a)
(12,0)
b)
(0,-3)
c)
(8,-1)
d)
(0,0)
20.
Find the slope of the line.
a)
Undefined
b)
0
c)
1/1
d)
-1/1
21.
What does the slope represent in this situation?
a)
The sloth runs 1 feet in 3 minutes
b)
The sloth runs 3 feet in 1 minute
c)
The sloth runs fast
d)
The sloth runs 6 feet in 1 minute
22.
Convert to Slope-Intercept form.
10x -7y = -8
10x -7y = -8
a)
y = 10x + 8/7
b)
y = -10x - 8/7
c)
y = 10/7x - 8/7
d)
y = 10/7x + 8/7
23.
Find the 22nd term of the following sequence:
5, 8, 11, ...
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
24.
Find a26 in the arithmetic sequence: -15, -35, -55, -75, ...
a)
-515
b)
-490
c)
-535
d)
460
25.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
26.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
27.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
28.
Which formula represents this sequence:
2, 8, 14, ...
2, 8, 14, ...
a)
4n
b)
6n -4
c)
3n + 2
d)
5n - 2
29.
Given the rule 5n - 2. What are the first 4 terms in the sequence?
a)
1,2,3,4
b)
-2, 1, 3, 7
c)
3, 8, 13, 18
d)
3, 6, 9, 12
30.
If the equation t(n) = 6n + 11, what does t(13) equal?
a)
0.33
b)
66
c)
78
d)
89
31.
Is the graph of the equation a horizontal or vertical line?
y = 10
y = 10
a)
horizontal
b)
vertical
32.
What is the common difference for a sequence containing the following terms:
a4 = 8 ; a7 = 32
a)
A
6
b)
B
7
c)
C
8
d)
D
4
33.
What is the recursive formula for a sequence containing the terms:
a1 = 5 ; a6 = 20
a)
A
an = a(n - 1) + 5
b)
B
an = a(n - 1) ⋅ 3
c)
C
an = a(n - 1) + 3
d)
D
an = a(n - 1) - 5
34.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
35.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4/1
d)
4/1
36.
Find the slope of the line.
a)
4/2
b)
-4/2
c)
2/1
d)
-2/1
37.
What is the linear parent function?
a)
f(x) = x
b)
y = mx + b
c)
f(x) = 2x
d)
f(x) = y
38.
If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?
down, which of the following equations would the new graphed
line represent?
a)
f(x) = 7x
b)
f(x) = x - 7
c)
f(x) = x + 7
d)
f(x) = 7x - 7
39.
Given f(x) = 2x +3. Translate the function down 2 and write the new rule.
a)
g(x) = 2x +1
b)
g(x) = 2x + 5
c)
g(x)= x + 3
d)
g(x) = 2x +3
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