Mathematics: Which of these functions could have the graph shown below?

The purpose of these lines, is that something is spooky and haunted....

Which of these functions could have the graph

Masielovebug

11.03.2022

C) f(x) = $\tex f(x) =20e^x\tex$

Step-by-step explanation: It is possible to see in the graph that the point (0,20) belongs to the function.

Let's test all the alternatives to see which one works.

We know that x = 0 and y = 20. We should remember that x^0 = 1 , ∀x.

A) $f(x)=20^x \\f(0) = 20^0=1 \neq 20$

B) $f(x) = 20^{20x}\\f(0) = 20^{20.0} = 20^0 = 1 \neq 20$

C) $f(x) = 20e^{x}\\f(0) = 20e^{0} = 20.1 = 20$ ok

D) $f(x) = e^{20x}\\f(0) = e^{20.0} = e^{0} = 1 \neq 20$

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