Answer:
The y-intercept is (0,210)
Step-by-step explanation:
We have the function, [tex]f(x)=201+9e^{3x}[/tex]
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,
[tex]f(0)=201+9e^{3\times 0}[/tex]
i.e. [tex]f(0)=201+9e^{0}[/tex]
i.e. [tex]f(0)=201+9\times 1[/tex]
i.e. [tex]f(0)=201+9[/tex]
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).
