Functions and Graphs

Graphing a quadratic function without a table of values isn’t as simple as linear functions. This process involves knowing the parabola’s direction of opening, and finding its solutions (also called roots or x-intercepts), vertex point, and y-intercept. These features are shown below: Sketching Quadratics with Roots Recall that to graph a quadratic…

Sometimes the input variable, x, and the output variable, y, of an equation might be influenced by a separate factor, t. In other words, the variable, t, influences both the x and the y separately. Such a scenario can be modeled using a parametric. For example, finding the solution to…

Graphing Functions Using a Table of Value Using a table of values is the easiest way to generate accurate points when graphing a function. You create a table of ordered pairs [ i.e. (x, y) ] by first selecting values of x over the required domain and then computing corresponding…

A function is a mathematical relationship between two or more variables. Like an equation, a function contains one or more input variables that work together to produce exactly one output. However, unlike equations, they are given their own special notation called functional notation. For example, a relationship between the input…