Question

a.Graph the function f(x)=ex on the window [−5,5] by [−10,30].b.Find f(1), f(−3), and f(5), rounded to three decimal places.c.What is the horizontal asymptote of the graph?d.What is the y-intercept?

Answer 1

a. Graphing f(x) = e^x

Answer: C.

b. f(1)

`f(1)=e^1=e=2.718`

Answer: f(1) = 2.718

f(-3)

`f(-3)=e^(-3)=(1)/(e^3)=0.050`

Answer: f( -3 ) = 0.050

f(5)

`f(5)=e^5=148.413`

Answer: f(5) = 148.413

c. Asymptote horizontal of the graph is y = 0

Answer: y = 0 or y-axis

d.According to the graph the intersection with the y-axis is at the point (0,1).

Answer: (0,1)