MAT 109 Lecture Notes - Lecture 4: Even And Odd Functions, Floor And Ceiling Functions
Document Summary
Give a de nition to each of the terms listed in this section. 1 fun facts about f (x) = x. Increasing on the interval of (0, ) and decreasing never. 2 fun facts about f (x) = 3 x. This is an odd function since this function is symmetric with respect to the origin. Increasing on the interval of ( , ) and decreasing never. Contains no absolute minimum and no absolute maximum. 3 fun facts about f (x) = |x| All values of y, but when y is greater than 0, which can be written as {y | y 0}. This is an even function since this function is symmetric with respect to the y-axis. Decreasing on the interval of ( , 0) and increasing on the interval of (0, ). Contains an absolute minimum of 0 at x = 0 with no absolute maximum. 4. 1 what is b? is and must only be a real number.
