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Unit 4 Optional Review: Function Analysis (Bartels M3H)

Last updated 10 months ago
22 questions
Multiple Choice
1

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, ∞)

1

Which of the following value of “b” would cause a horizontal stretch to the graph of parent quadratic function?

1

Which of the following value of “b” would cause a horizontal compression to the graph of parent quadratic function?

1

Which of the following value of “a” would cause a vertical compression to the graph of parent quadratic function?

1

Which of the following value of “a” would cause a vertical stretch to the graph of parent quadratic function?

1

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)?

1

All of the following functions have a vertical shift in the graph except:

1

Consider the piecewise function described by the following equation. What is f(-3)?

1

Consider the piecewise function described by the following equation. What is f(5)?

1

Which of the graphs has odd symmetry?

1

Which of the graphs has even symmetry?

1

Which of the following functions have an absolute minimum? Select all that apply.

1

Which of the following functions have an absolute maximum? Select all that apply.

1

Which of the following piecewise function matches the graph below?

1

Which of the following are true about the graph below? Select all that apply.

Always, Sometimes, Never
1

A absolute minimum is also an relative minimum.

1

A piecewise function only contains one function but has a restricted domain.

Free Response
2
Graph the function on the coordinate plane provided. Mark your points and indicate open versus closed circles clearly.


Domain:_______
Range:_______
1

Given the graph of y=f(x), list all of the transformations given by y= -2f(x+2)-1.
Transformation:

1
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 _______
13
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→_______
10
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→_______