Unit 4 Optional Review: Function Analysis (Bartels M3H)

Posljednje ažuriranje over 1 year ago

22 questions

Multiple Choice

Always, Sometimes, Never

Free Response

Unit 4 Optional Review: Function Analysis (Bartels M3H)

Posljednje ažuriranje over 1 year ago

22 questions

Multiple Choice

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, ∞)

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

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

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

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

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:

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

-2

-11

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

-2

Which of the graphs has odd symmetry?

null

Which of the graphs has even symmetry?

null

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?

null

Always, Sometimes, Never

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

Free Response

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

null

Domain:

Range:

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.

null

New points:

(-5,1) becomes

(-3,-4) becomes

(0,0) becomes

(3,-4) becomes

(5,1) becomes

Identify all of the following key features for the graph given.

null

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→

Identify all of the following key features for the graph given.

null

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→

Unit 4 Optional Review: Function Analysis (Bartels M3H)

Unit 4 Optional Review: Function Analysis (Bartels M3H)

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, ∞)

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

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

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

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

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)?

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

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

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

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?

A absolute minimum is also an relative minimum.

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

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, ∞)

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

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

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

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

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)?

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

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

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

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.

A absolute minimum is also an relative minimum.

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

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

Unit 4 Optional Review: Function Analysis (Bartels M3H)

Unit 4 Optional Review: Function Analysis (Bartels M3H)

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-axisII. h(x)=-1(x-4)^{2}+4III. The is domain is (-∞, ∞)IV: h(x) is negative on (4, ∞)

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

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

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

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

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)?

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

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

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

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?

A absolute minimum is also an relative minimum.

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

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-axisII. h(x)=-1(x-4)^{2}+4III. The is domain is (-∞, ∞)IV: h(x) is negative on (4, ∞)

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

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

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

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

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)?

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

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

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

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.

A absolute minimum is also an relative minimum.

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

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

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, ∞)

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, ∞)

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