Square function
From Calculus
Definition
The square function or square map is a function defined on all real numbers that sends any real number to its square, i.e., its product with itself.
Key data
Item | Value |
---|---|
default domain | all real numbers, i.e., all of ![]() |
range | all nonnegative real numbers, i.e., ![]() ![]() no absolute maximum value; absolute minimum value: 0 |
local maximum values and points of attainment | no local maximum value |
local minimum values and points of attainment | local minimum value of 0 attained at 0 |
point of inflection (both coordinates) | no points of inflection |
derivative | ![]() |
second derivative | ![]() |
antiderivative | ![]() |
interval description based on increase/decrease and concave up/down | ![]() ![]() |