Find The Domain And Range Of A Quadratic Function

To find the range is a bit trickier than finding the domain.

Find the domain and range of a quadratic function. The range of a function is the set of output values when all x values in the domain are evaluated into the function commonly known as the y values this means i need to find the domain first in order to describe the range. Examples and matched problems with their answers are located at the bottom of this page. Determine the domain and range of the function f of x is equal to 3x squared plus 6x minus 2.

The domain of a quadratic function in standard form is always all real numbers meaning you can substitute any real number for x the range of a function is the set of all real values of y that you can get by plugging real numbers into x. What is a set of all of the valid inputs or all of the valid x values for this function. Given a situation that can be modeled by a quadratic function or the graph of a quadratic function the student will determine the domain and range of the function.

In the quadratic function y 2x 2 5x 7 we can plug any real value for x. And i can take any real number square it multiply it by 3 then add 6 times that real number and then subtract 2 from it. Finding the range of a quadratic by using the axis of symmetry to find the vertex.

Range of a function. How to find domain and range of a quadratic function. Find the range of quadratic functions.

There is no need to find the minimum of the quadratic function as that minimum does not occur within the domain of f. If this isn t clear we can certainly discuss any questions you have about it. Y 2x 2 5x 7.

If you have problems of the sort you described finding the range of a function with a restricted domain feel free to show us such a problem with your work and we can discuss that. The domain is always all real numbers and you find the range by finding the vertex which is f b 2a. So the domain of the function is.