Question

Let f(x)=201+9e3x .



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

Answer 1

The y-intercept is (0,210)

Explanation:

We have the function,
`f(x)=201+9e^(3x)`

So, we know that,

'y-intercept is the point on the graph where the function crosses y-axis'.

i.e. y-intercept is obtained when x=0.

Thus, substituting x=0 in the given function, we get,

`f(0)=201+9e^(3* 0)`

i.e.
`f(0)=201+9e^(0)`

i.e.
`f(0)=201+9* 1`

i.e.
`f(0)=201+9`

i.e. f(0) = 210

Also, we can see from the given graph that the function crosses y-axis at (0,210).

Hence, the y-intercept is (0,210).