8. Let f (x) = 2e^x + 1.

Answers can be stated without additional work/explanation.

(a) Which describes how the graph of f can be obtained from the graph of y = e x ?

A. Stretch the graph of y = e^x vertically by a factor of 2, and then shift upward by 1 unit.

B. Shift the graph of y = e^x upward by 1 unit, and then stretch vertically by a factor of 2.

C. Shift the graph of y = e^x to the left by 2 units, and then shift upward by 1 unit.

D. Shift the graph of y = e^x to the right by 2 units, and then shift upward by 1 unit.

(b) What is the y-intercept?

(c) What is the domain of f ?

(d) What is the range of f ?

(e) What is the horizontal asymptote?

(f) Draw graph(optional)