Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Which function could produce the graph shown below?
dnesda
-4
+3
+2
5
10
15
20
25
30
35

Which Function Could Produce The Graph Shown Below Dnesda 4 3 2 5 10 15 20 25 30 35 class=

Sagot :

Answer:

f(x)=4e^-0.5x

Step-by-step explanation:

  Exponential function given in Option (C). f(x) = 4e⁻⁰°⁰⁵ will be the answer.

Exponential function:

  •  An exponential function is given by,

          [tex]f(x)=ae^{bx}[/tex]

Given in the question,

  •  Graph of the exponential function passes through two points,

          (0, 4) and (27.5, 1)

For (0, 4),

[tex]4=ae^{b\times 0}[/tex]

[tex]a=4[/tex]

For (27.5, 1)

[tex]1=4(e)^{27.5\times b}[/tex]

[tex]e^{27.5b}=0.25[/tex]

[tex]\text{ln}e^{27.5b}=\text{ln}(0.25)[/tex]

27.5b = -1.3863

b = -0.05

     Therefore, exponential function will be → [tex]f(x)=4e^{-0.05x}[/tex]

                       Option (C) will be the answer.

Learn more about the exponential function here,

https://brainly.com/question/11487261?referrer=searchResult