Question

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

Answer 1

Answer:

f(x)=4e^-0.5x

Step-by-step explanation:

Answer 2

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

Exponential function:

•  An exponential function is given by,

          $f(x)=ae^{bx}$

Given in the question,

•  Graph of the exponential function passes through two points,

          (0, 4) and (27.5, 1)

For (0, 4),

$4=ae^{b\times 0}$

$a=4$

For (27.5, 1)

$1=4(e)^{27.5\times b}$

$e^{27.5b}=0.25$

$\text{ln}e^{27.5b}=\text{ln}(0.25)$

27.5b = -1.3863

b = -0.05

     Therefore, exponential function will be → $f(x)=4e^{-0.05x}$

                       Option (C) will be the answer.

Learn more about the exponential function here,

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