Graph of a function

mathematics, the graph of a function f is, formally, the set of all ordered pairs (x, f(x)), such that x is in the domain of the function f. In the common

mathematics, the graph of a function f is, formally, the set of all ordered pairs (x, f(x)), such that x is in the domain of the function f. In the common

Convex function

the graph of the function lies above or on the graph. Equivalently, a function is convex if its epigraph (the set of points on or above the graph of the

the graph of the function lies above or on the graph. Equivalently, a function is convex if its epigraph (the set of points on or above the graph of the

Function (mathematics)

variable of the function (one often says that f is a function of the variable x). A function is uniquely represented by its graph which is the set of all pairs

variable of the function (one often says that f is a function of the variable x). A function is uniquely represented by its graph which is the set of all pairs

Graph

a topological space resembling a graph in the sense of discrete mathematics Graph of a function Chart, a means of representing data (also called a graph)

a topological space resembling a graph in the sense of discrete mathematics Graph of a function Chart, a means of representing data (also called a graph)

Periodic function

periods of the function. Geometrically, a periodic function can be defined as a function whose graph exhibits translational symmetry. Specifically, a function

periods of the function. Geometrically, a periodic function can be defined as a function whose graph exhibits translational symmetry. Specifically, a function

Exponential function

exponential function also appears in a variety of contexts within physics, chemistry, engineering, mathematical biology, and economics. The graph of y = e x

exponential function also appears in a variety of contexts within physics, chemistry, engineering, mathematical biology, and economics. The graph of y = e x

Vertical line test

test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. If a vertical

test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. If a vertical

Implicit function theorem

the graph of a function. There may not be a single function whose graph can represent the entire relation, but there may be such a function on a restriction

the graph of a function. There may not be a single function whose graph can represent the entire relation, but there may be such a function on a restriction

Derivative

the tangent line to the graph of the function at that point. The tangent line is the best linear approximation of the function near that input value. For

the tangent line to the graph of the function at that point. The tangent line is the best linear approximation of the function near that input value. For

Parent function

parent function of the family of quadratic equations. For linear and quadratic functions, the graph of any function can be obtained from the graph of the

parent function of the family of quadratic equations. For linear and quadratic functions, the graph of any function can be obtained from the graph of the