Let f (x) = e ^{x - 1} + 3.

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 ?Choice: ________

A.Shift the graph ofy = e^x to the left by 1 unit and up by 3 units.

B.Shift the graph ofy = e^x to the right by 1 unit and up by 3 units.

C.Reflect the graph ofy = e^x across the x-axis and shift up by 3 units.

D.Reflect the graph ofy = e^x across the y-axis and shift up by 3 units.

(b) What is the domain of f ?

(c) What is the range of f ?

(d) What is the horizontal asymptote?

(e) What is the y-intercept? State the approximation to 2 decimal places (i.e., the nearest hundredth).

(f) Sketch the graph of f .