Answered

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Determine the end behavior for each function below. Place the letter(s) of the appropriatestatement(s) on the line provided. A. As x approaches ∞o, y approaches ∞oB. As x approaches -œo, y approaches œC. As x approaches ∞o, y approaches -∞0D. As x approaches -c0, y approaches -00

Determine The End Behavior For Each Function Below Place The Letters Of The Appropriatestatements On The Line Provided A As X Approaches O Y Approaches OB As X class=

Sagot :

Solution:

From the given graphs,

The first graph is the absolute function graph.

Which can be expressed in the form

[tex]y=-|x|[/tex]

Since the leading coefficient is negative,

The end behavior of the graph is

[tex]As\text{ x}\rightarrow\infty,y\rightarrow-\infty\text{ and as x}\rightarrow-\infty,y\rightarrow-\infty[/tex]

Hence, the answers are C and D

The second graph is a quadratic graph of the form

[tex]y=x^2[/tex]

Since the leading coefficient is positive

The end behavior will be

[tex]As\text{ x}\rightarrow\infty,y\rightarrow\infty\text{ and as x}\rightarrow-\infty,y\rightarrow\infty[/tex]

Hence, the answers are A and B

The third graph is a cubic function that can be expressed in the form

[tex]y=-x^3[/tex]

The leading coefficient is negative.

The end behavior will be

[tex]As\text{ x}\rightarrow\infty,y\rightarrow-\infty\text{ and as x}\rightarrow-\infty,y\rightarrow\infty[/tex]

Hence, the answers are C and B

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