1.Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable? (Enter your answers from smallest to largest. Enter NONE in any unused answer blanks.)

f(x) = x + 3/x² 2x 15

2.Consider the following function.

f(x) = x² 2x + 7

(a)Find the critical numbers of f, if any. (Enter your answers as a comma-separated list.)

x=

(b)Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)

increasing

decreasing

(c)Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.)

relative minimum(x,y)=

relative maximum(x,y)=