Consider the following fx 7 2x Find the critical numbers En

Consider the following.

f(x) = 7 2x

Find the critical numbers. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

x =

Find the open intervals on which the function is increasing or decreasing. Use a graphing utility to verify your results. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)

Solution

f(x) = 7 -2x

f\'(x) = -2

There are no critical numbers since f\'(x) is not equal to zero.

Function is always decreasing in the interval ( - infinity, infinity)

No interval of increase