Question

An exponential relationship has a growth factor of3and y-intercept of 4.Evalute the function that represents the function that represents this relationship where x=10

Answer 1

Answer:

$f(10)= 236196$

Step-by-step explanation:

Given

$(x,y) = (0,4)$ --- y intercept

$b = 3$ --- growth factor

Required

$f(10)$

An exponential function is represented as:

$y = ab^x$

$(x,y) = (0,4)$ means

$4=a * b^0$

$4=a *1$

$a= 4$

So, we have:

$y = ab^x$

$y = 4(3)^x$

or

$f(x)= 4(3)^x$

When x is 10, the value of the function is:

$f(x)= 4(3)^x$

$f(10)= 4(3)^{10$

$f(10)= 236196$