To solve this problem, you would evaluate the function f at the given interval endpoints.
The function f(x) is defined as e^-x. We'll need to substitute x with our interval endpoints, which are -2 and 4.
First, substitute x with -2:
f(-2) = e^-(-2)
Here, the negative sign before the 2 and the negative exponent sign will cancel out, resulting in:
f(-2) = e^2
Next, substitute x with 4:
f(4) = e^-4
Thus, the lower value (the value of the function at the lower endpoint of the interval) is e^2, and the upper value (the value of the function at the upper endpoint of the interval) is e^-4.
So the function f(x)= e^-x, when evaluated at the interval from -2 to 4 gives the values of e^2 at x=-2 and e^-4 at x=4.