Unit 4 Optional Review: Function Analysis (Bartels M3H)
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Last updated over 1 year ago
22 questions
Multiple Choice
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1
1
1
1
1
1
1
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1
1
1
Always, Sometimes, Never
1
1
Free Response
2
1
1
13
10
Question 1
1.
Question 2
2.
Question 3
3.
Question 4
4.
Question 5
5.
Question 6
6.
Question 7
7.
Question 8
8.
Question 9
9.
Question 10
10.
Question 11
11.
Question 12
12.
Question 13
13.
Question 14
14.
Question 15
15.
Question 16
16.
Question 17
17.
Question 18
18.
Graph the function on the coordinate plane provided. Mark your points and indicate open versus closed circles clearly.
Domain:_______
Range:_______
Question 19
19.
Question 20
20.
Given the graph of y=f(x), list all of the transformations given by y= -2f(x+2)-1. Then, sketch the graph of the transformed function. Make sure to mark at least 4 exact points.
New points:
(-5,1) becomes _______
(-3,-4) becomes _______
(0,0) becomes_______
(3,-4) becomes_______
(5,1) becomes _______
Question 21
21.
Identify all of the following key features for the graph given.
If it doesn’t exist, state none.
Relative maximum(s):_______
Relative minimum(s):_______
Absolute maximum(s): _______
Absolute minimum(s):_______
Decreasing interval(s): _______
Increasing interval(s):_______
Constant(s):_______ and _______
Negative Interval(s):_______
Positive Interval(s):_______ and _______
End Behavior:
as x→-8, y→_______
as x→∞, y→_______
Question 22
22.
Identify all of the following key features for the graph given.
If it doesn’t exist, state none.
Relative maximum(s):_______
Relative minimum(s):_______
Absolute maximum(s): _______
Absolute minimum(s):_______
Decreasing interval(s): _______
Increasing interval(s):_______ and _______
Constant(s):_______
End Behavior:
as x→-∞, y→_______
as x→∞, y→_______
f(x)=x^2 has been transformed to h(x). The graph of h(x) is shown. Which of the following is true about h(x)?
I. h(x) is reflected over the x-axis
II. h(x)=-1(x-4)^{2}+4
III. The is domain is (-∞, ∞)
IV: h(x) is negative on (4, ∞)
I and III
II and III
II and IV
I, II and III
II, III and IV
Which of the following value of “b” would cause a horizontal stretch to the graph of parent quadratic function?
-1
1/3
3
-3
0
Which of the following value of “b” would cause a horizontal compression to the graph of parent quadratic function?
-1/3
1/3
3
-1
0
Which of the following value of “a” would cause a vertical compression to the graph of parent quadratic function?
-1
1/3
3
1
0
Which of the following value of “a” would cause a vertical stretch to the graph of parent quadratic function?
-1
1/3
3
-1/3
0
The function f(x)=x^2 has been transformed to g(x) such that g(x)= 3(-2x-6)+2. Which of the following is not true about the graph of gx when compared to f(x)?
g(x) has a vertex at (-3,2)
Reflected the parent function over the y-axis.
Horizontally compressed the parent function by a factor of 1/2.
Shifted the parent function up 2 units.
Shifted the parent function to the right 6 units.
All of the following functions have a vertical shift in the graph except:
f(x)={1/2}(x+2)-1
h(x)=(3(x-1))
g(x)=3x-1
j(x)= -1(3x+1)+5
k(x)=2(-(x-2))+1
Consider the piecewise function described by the following equation. What is f(-3)?
2
-2
-11
7
Consider the piecewise function described by the following equation. What is f(5)?
2
-2
23
3
Which of the graphs has odd symmetry?
Which of the graphs has even symmetry?
Which of the following functions have an absolute minimum? Select all that apply.
Which of the following functions have an absolute maximum? Select all that apply.
Which of the following piecewise function matches the graph below?
Which of the following are true about the graph below? Select all that apply.
There is 2 relative maximums
There is 1 relative minimum
There are 2 x-intercepts
Negative intervals: [-6, -2.5) U (6.75, ∞)
Negative intervals: (-6, -2.5) U (6.75, ∞)
Range: (-6, ∞)
Range: [-3, 4]
Average rate of change on the interval [-6, -2] is 1.
Increasing intervals: (-3, -2) U (2, 3)
Increasing intervals: [-3, -2] U [2, 3]
A absolute minimum is also an relative minimum.
Always
Sometimes
Never
A piecewise function only contains one function but has a restricted domain.
Always
Sometimes
Never
Given the graph of y=f(x), list all of the transformations given by y= -2f(x+2)-1.