Question

Let f(x)=15/(1+4e)^(-0.2x)

What is the y-intercept of the graph of f(x) ?

Answer 1

That means when x=0
e^-0.2x =e^0=1
So f(0)=15/5=3

Answer 2

y-intercept of the graph of f(x) is, 3

Explanation:

y-intercept states that the graph cross the y-axis.

i.e, substitute x = 0 and solve for y.

As per the statement:

Given the function:

`f(x) = y = (15)/(1+4e^(-0.2x))`

To find y-intercept:

By definition:

Substitute x = 0 we have;

`y = (15)/(1+4e^(-0.2 \cdot 0)) = (15)/(1+4 \cdot 1)  =(15)/(5) = 3`

therefore, the y-intercept of the graph of f(x) is, 3