Answer: C) f(x) = [tex]\tex f(x) =20e^x\tex[/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 [tex]x^0 = 1[/tex], ∀x.
A) [tex]f(x)=20^x \\f(0) = 20^0=1 \neq 20[/tex]
B) [tex]f(x) = 20^{20x}\\f(0) = 20^{20.0} = 20^0 = 1 \neq 20[/tex]
C)[tex]f(x) = 20e^{x}\\f(0) = 20e^{0} = 20.1 = 20[/tex] ok
D) [tex]f(x) = e^{20x}\\f(0) = e^{20.0} = e^{0} = 1 \neq 20[/tex]
