Question

Which of the statements are true about the function f given by f(x) = 100 • e^-x

Select all that apply. s
A. The y-intercept of the graph off is at (0, 100).

B. The values f increase when x increases.
C. The value of f when x = -1 is a little less than 40.
D. The value of f when x = 5 is less than 1.
E. The value of f is never 0.

Answer 1

A. The y-intercept of the graph of f is at (0, 100).

D. The value of f when x = 5 is less than 1.

E. The value of f is never 0.

The first two statements are not true because the function f is defined by the equation f(x) = 100 • e^-x, where e^-x is the base of the natural logarithm (commonly known as "e") raised to the power of -x. Since e is always greater than 1, the value of e^-x will always be between 0 and 1, so the function f will always decrease as x increases. This means that statements B and C are not true.

Explanation: