Domain Range Quadratic Function

We had a long discussion last august about domain and range of functions involving either quadratic functions or restricted domains or both.

Domain range quadratic function. For all quadratic functions the domain is always rr double r. Here is the question from. What is a set of all of the valid inputs or all of the valid x values for this function.

The summary of domain and range is the following. This means that any real number can be used as an input value. The range of a function is the set of all real values of y that you can get by plugging real numbers into x.

Domain x values output domain and range of quadratic functions substituting any real value of x into a quadratic equation results in a real number. To have better understanding on domain and range of a quadratic function let us look at the graph of the quadratic function y x2 5x 6. When we look at the graph it is clear that x domain can take any real value and y range can take all real values greater than or equal to 0 25 problem 2.

Graphical analysis of range of quadratic functions the range of a function y f x is the set of values y takes for all values of x within the domain of f. The graph of this function is shown below. The graph of any quadratic function of the form f x a x 2 b x c which can be written in vertex form as follows f x a x h 2 k where h b 2a and k f h.

Therefore in general the domain of any quadratic function is all real numbers. I ve edited the discussion to avoid some intermingling of topics. Domain set of input values for the independent variable over which the function is defined.

Determine the domain and range of the function f of x is equal to 3x squared plus 6x minus 2. So the domain of the function is. The range is simply y 2.