Practice test 2.2 try 2 PDF

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PRACTICE TEST 2.2 - Grade Report Score:

100% (7 of 7 pts)

Submitted:

Feb 20 at 8:32pm

Question: 1

Grade: 1.0 / 1.0

Choose the graph of the function.

Your response

Solution

Expand the polynomial to identify the degree and the leading coefficient.

degree

; leading coefficient

Since the degree is odd and the leading coefficient is negative, the graph rises to the left and falls to the right. Find the -intercept. -intercept: Find the zeros. , , are zeros with multiplicity -intercepts: and Find several additional points on the graph. Choose

-values for the points near the zeros,

=

The graph passes through

=

The graph passes through

and

such as

and

Choose the graph by plotting the points and extending the graph in a positive direction at its left end and a negative direction at its right end.

Question: 2

Grade: 1.0 / 1.0

Find all real zeros (if any) and state the multiplicity of each.

0,2;2,1;-5,1 (100%) Enter a real zero, then a comma, and then its multiplicity. If the function has more than one real zero, enter a semicolon before the next zero. For example, if the function has the following zeros: 2 with multiplicity 1 -3 with multiplicity 4 6 with multiplicity 2 then "2,1; -3,4; 6,2" should be entered. The list can begin with any of the zeros. Enter "none" if the function has no real zeros. Solution

Find all real zeros by setting the polynomial equal to

and solving for

=

=

=

=

or

= 0

=

=

or

=

=

The multiplicity of each zero is given by each related linear factor’s power. : multiplicity multiplicity multiplicity

Question: 3

Grade: 1.0 / 1.0

Find all real zeros (if any) and state the multiplicity of each.

0,5;3,4;-8,1 (100%) Enter a real zero, then a comma, and then its multiplicity. If the function has more than one real zero, enter a semicolon before the next zero. For example, if the function has the following zeros: 2 with multiplicity 1 -3 with multiplicity 4 6 with multiplicity 2 then "2,1; -3,4; 6,2" should be entered. The list can begin with any of the zeros. Enter "none" if the function has no real zeros. Solution

Find all real zeros by setting the polynomial equal to =

or

= 0

=

=

or

and solving for

=

=

The multiplicity of each zero is given by each related linear factor’s power. : multiplicity multiplicity multiplicity

Question: 4

Grade: 1.0 / 1.0

Sketch the graph of the function.

Your response

Solution

Start with the graph of the basic monomial function

Reflect the graph over the

-axis (since

is multiplied by

) and then translate the graph down 4 units (since 4 is subtracted from

).

Question: 5

Grade: 1.0 / 1.0

Sketch the graph of the function.

Your response

Solution

Start with the graph of the basic monomial function

Translate the graph to the left 2 units (since 2 is added to

) and down 3 units (since 3 is subtracted from

).

Question: 6

Grade: 1.0 / 1.0

Describe the function‘s end behavior. ∞ (50%)

as

∞ (50%)

as Solution

Identify the functions degree and leading coefficient. Degree = 2 Leading coefficient = Since the degree is 2 and the leading coefficient is positive, the function rises to the left and also rises to the right. Therefore, as and as .

Question: 7

Grade: 1.0 / 1.0

Enter the number of each type of local extrema. If there are none, enter 0.

0 (33%)local maximum(s) 0 (33%)local minimums(s) 0 (33%)local extrema Solution

The graph has 0 local minimums and 0 local maximums, so there are 0 local extrema....