Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Part 2: Write limits given outputs.Use the graph of the function to write limit equations given limit values.Use the graph to write a limit equation for f(x) that satisfies each given condition. (2 points for each)a. b. c. d. e. Are there other values than what you chose for x where the limit of the function approaches 4? Is the graph continuous at these points? Explain your reasoning. (4 points)

Part 2 Write Limits Given OutputsUse The Graph Of The Function To Write Limit Equations Given Limit ValuesUse The Graph To Write A Limit Equation For Fx That Sa class=

Sagot :

a) From the graph, we see that the function takes the value y = 4 when x = 4, so we have:

[tex]\lim _{x\rightarrow4}f(x)=4.[/tex]

b) We see that the curve tends to -∞ when x approaches zero from the left, so we have:

[tex]\lim _{x\rightarrow0^-}f(x)=-\infty.[/tex]

c) We see that curve increases without limit when x tends to infinity, so we have:

[tex]\lim _{x\rightarrow\infty}f(x)=\infty.[/tex]

d) From the graph, we see that the function tends to y = 0 when x approaches zero from the right, so we have:

[tex]\lim _{x\rightarrow0^+}f(x)=0.[/tex]

e) Yes, there are two possible values of x for the limit of the function approaching 4:

• x = 2,

,

• x = 4.

By definition, a function is continuous when its graph is a single unbroken curve.

We see that at the points x = 2 and x = 4 the curve is a single unbroken curve, so we conclude that the function is continuous at those points.

Answers

a, b, c, d

[tex]\begin{gathered} \lim _{x\rightarrow4}f(x)=4 \\ \lim _{x\rightarrow0^-}f(x)=-\infty \\ \lim _{x\rightarrow\infty}f(x)=\infty \\ \lim _{x\rightarrow0^+}f(x)=0 \end{gathered}[/tex]

e. Yes, there are two possible values of x for the limit of the function approaching 4:

• x = 2,

,

• x = 4.

By definition, a function is continuous when its graph is a single unbroken curve.

We see that at the points x = 2 and x = 4 the curve is a single unbroken curve, so we conclude that the function is continuous at those points.

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.