Respuesta :
Answer:
f(x) = 2^x
Step-by-step explanation:
Solve for a. At point (3,8), x = 3, f(x) = 8
Plugging into the equation it becomes 8 = a^3
a = [tex]\sqrt[3]{8}[/tex]
a = 2
The exponential function is [tex]\boldsymbol{f(x)=2^x}[/tex].
Exponential Function
A mathematical function of the form [tex]\boldsymbol{f(x)=a^x}[/tex] is an exponential function. where [tex]x[/tex] is a variable and [tex]a[/tex] is a constant known as the function's base.
Put [tex](x,f(x))=(3,8)[/tex] in the given exponential function.
[tex]8=a^3\\2^3=a^3\\a=2[/tex]
So, the exponential function is [tex]\boldsymbol{f(x)=2^x}[/tex]
Find out more information about exponential function here:
https://brainly.com/question/15352175?referrer=searchResults
