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WorksheetsQZ 2(1-3) Review
Total questions: 71
Worksheet time: 1hrs 4mins
What is the domain of this relation? Use correct notation. Don't type spaces.
Type your answer like this:
D={10,7,-3}
(a)
What is the domain of this relation? Use correct notation. Don't type spaces.
Type your answer like this:
D={-5,7,9}
(a)
What is the domain of this relation? Use correct notation. Don't type spaces.
Type your answer like this:
D={-3,2,10}
(a)
What is the domain of this relation? Use correct notation. Don't type spaces.
Type your answer like this:
D={5,-2,1}
(a)
Is this relation a function?
Yes.
No.
Is this relation a function?
Yes.
No.
Is this relation a function?
Yes.
No.
Is this relation a function?
Yes.
No.
Is this relation a function?
Yes.
No.
Is this relation a function?
Yes.
No.
Is this relation a function?
Yes.
No.
Is this relation a function?
Yes.
No.
Is this relation a function?
Yes.
No.
Is this relation a function?
Yes.
No.
Is this relation a function?
Yes.
No.
f(x)=x+25
Find f(3)
Type your answer like this: f(?)=?.
You fill in the question marks. No spaces.
For example f(8)=2
(a)
f(x)=x+25
Find f(−4)
Type your answer like this: f(?)=?.
You fill in the question marks. No spaces.
For example f(8)=2
(a)
f(x)=x+25
Find f(m−2)
Type your answer like this: f(?)=?.
You fill in the question marks. No spaces.
For example f(8)=2
(a)
g(x)=−2x+3
Find g(21)
Type your answer like this: g(?)=?.
You fill in the question marks. No spaces.
For example g(8)=-13
(a)
g(x)=−2x+3
Find g(−6)
Type your answer like this: g(?)=?.
You fill in the question marks. No spaces.
For example g(8)=-13
(a)
g(x)=2x−1
Find g(0)
Type your answer like this: g(?)=?.
You fill in the question marks. No spaces.
For example g(8)=15
(a)
g(x)=2x−1
Find g(4)
Type your answer like this: g(?)=?.
You fill in the question marks. No spaces.
For example g(8)=15
(a)
g(x)=2x−1
Find g(−6)
Type your answer like this: g(?)=?.
You fill in the question marks. No spaces.
For example g(8)=15
(a)
Is this function linear?
f(x)=23
yes
no
Is this function linear?
f(x)=32x
yes
no
Is this function linear?
f(x)=x5
yes
no
Is this function linear?
9−5xy=2
yes
no
Is this function linear?
y=−21x+3
yes
no
Is this function linear?
y=−5x
yes
no
Is this function linear?
xy=−1
yes
no
Is this function linear?
y=4x3
yes
no
Is this function linear?
y=3x
yes
no
Is this function linear?
y=−2+5x
yes
no
Is this function linear?
2x+y=10
yes
no
Is this function linear?
y=4x2
yes
no
Is this function linear?
y=4x3
yes
no
Is this function linear?
y=2x
yes
no
Is this function linear?
y=∣x+7∣
yes
no
Write an equation for the line of symmetry. Do not use any spaces.
(a)
Write an equation for the line of symmetry. Do not use any spaces.
(a)
Write an equation for the line of symmetry. Do not use any spaces.
(a)
Write an equation for the line of symmetry. Do not use any spaces.
(a)
What is the location of the relative maximum for the graphed function?
x = 1
x = 3
x = 4
x = 5
Does Not Exist
How many extrema are there in this graph?
2 max, 2 min
3 max, 2 min
2 man, 3 min
3 increasing intervals, 2 decreasing intervals
2 increasing intervals, 3 decreasing intervals
How many extrema (max and mins) are in the picture?
2
3
4
5
Describe the left hand end behavior.
x→∞, f(x)→−∞
x→∞, f(x)→−∞
x→−∞, f(x)→−∞
xn→−∞, f(x) →∞
Give the number of zeros and the number of relative extrema.
There are four zeros and one relative extreme.
There are three zeros and three extreme values.
There is one zero and three relative extreme values.
There are four zeros and three extreme values.
The relative maximums occur at what points?
There are no relative maximums.
(0, 4) and (5, 0).
(=6, 0) and (2, 0).
There is not enough information to answer the question.
What is the relative maximum of the function?
(−1.5, −7.1).
No relative maximum exists.
(−2, 0).
(1, 0).
Is there line symmetry or point symmetry. Why?
Line symmetry, left side matches right side.
Line symmetry, top half matches the bottom half.
Point symmetry, the graph rotates 180° at (0, 0).
Point symmetry, the graph rotates 180° at (2, −2).
What is the location of the relative maximum for the graphed function?
x = 1
x = 3
x = 4
x = 5
Does Not Exist
How many extrema are there in this graph?
2 max, 2 min
3 max, 2 min
2 man, 3 min
3 increasing intervals, 2 decreasing intervals
2 increasing intervals, 3 decreasing intervals
How many extrema (max and mins) are in the picture?
2
3
4
5
Determine if the function has line symmetry or point symmetry. Name the line or point of symmetry.
Line symmetry, x=0.
Point symmetry, (0, 0) .
Line symmetry, y=0 .
Point symmetry, x=0.
Does the function have line symmetry or point symmetry? Name the line or point of symmetry.
Point symmetry, (2, 2).
Line symmetry, y=2.
Point symmetry, (0, 0).
Line symmetry, x=2.
Identify the zero that is not also a relative extrema.
(−6, 0)
(2, 0)
(0, 4)
(5, 0)
What is left hand end behavior?
x→−∞, f(x)→+∞
x→−∞, f(x)→−∞
x→+∞, f(x)→+∞
x→+∞, f(x) →−∞
Are there more relative maximums than relative minimums?
No, they occur the same number of times.
Yes.
No, minimums occur more times.
No, there are no extreme values because the end behaviors are each approaching −∞ .
What is the relative minimum point?
(0, −7)
(2.5, 2.5)
There are no relative extrema.
(−1, 0)
Which function has the end behavior x→−∞, f(x)→−∞, x→+∞, f(x)→+∞ ?
f(x)=−x2−3x+1
f(x)=−x+3
f(x)=−4x+1
f(x)=2x−1
Which function has the end behavior x→−∞, f(x)→−∞ and x→+∞, f(x)→−∞ ?
g(x)=−x2−3x+3
g(x)=3x2−4x+7
g(x)=2x+4
g(x)=4x2−4x−9
x →+ ∞
y →+ ∞
True or false: The end behaviors match for this function.
True
False
Describe the right hand end behavior in this function.
x→+∞, f(x)→−∞
x→+∞, f(x)→+∞
