Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.