# Domain and range of quadratic function

## Domain and Range of Quadratic Functions

Given a situation that can be modeled by a quadratic function or the graph of a quadratic function, determine the domain and range of the function.

The graph of a quadratic function is a parabola , a type of 2 -dimensional curve. The function of the coefficient a in the general equation is to make the parabola "wider" or "skinnier", or to turn it upside down if negative :. If the coefficient of x 2 is positive, the parabola opens up; otherwise it opens down. The vertex of a parabola is the point at the bottom of the " U " shape or the top, if the parabola opens downward. In this equation, the vertex of the parabola is the point h , k. So, the x -coordinate of the vertex is:.

Finding Domain and Range. Learning Objective s. Functions are a correspondence between two sets, called the domain and the range. When defining a function, you usually state what kind of numbers the domain x and range f x values can be. There may be restrictions on the domain and range.

The cross-section of the antenna is in the shape of a parabola, which can be described by a quadratic function. In this section, we will investigate quadratic functions, which frequently model problems involving area and projectile motion. Working with quadratic functions can be less complex than working with higher degree functions, so they provide a good opportunity for a detailed study of function behavior. The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex.

## Find Range of Quadratic Functions

Given a situation that can be modeled by a quadratic function or the graph of a quadratic function, determine the domain and range of the function. A 6 Quadratic functions and equations. The student applies the mathematical process standards when using properties of quadratic functions to write and represent in multiple ways, with and without technology, quadratic equations. The student is expected to:. How do you determine the domain and range of a quadratic function when given a verbal statement? We're going to explore different representations of quadratic functions, including graphs, verbal descriptions, and tables.

Learn how you can find the range of any quadratic function from its vertex form. Finding the range of a function, just by looking at its formula, is pretty difficult! Actually, it's not even that Domain and range of quadratic functions · Range of .
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If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Algebra all content Functions Determining the range of a function Algebra 2 level. Domain and range of quadratic functions. Range of quadratic functions.