Domain Quadratic Function

The graph of this function is shown below.

Domain quadratic function. The quadratic parent function is y x2. The domain of a function is the set of all allowable values of the independent variable commonly known as the x values. Therefore the domain of the quadratic function in the form y ax 2 bx c is all real values.

To find the domain i need to identify particular values of x that can cause the function to misbehave and exclude them as valid inputs to the function. What is a set of all of the valid inputs or all of the valid x values for this function. The general form a quadratic function is y ax 2 bx c.

Because in the above quadratic function y is defined for all real values of x. If the vertex is a minimum the range is all real numbers greater than or equal to the y 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.

I have been able to solve them all except for one the last one of number 8. So the domain of the function is. As with any function the domain of a quadratic function f x is the set of x values for which the function is defined and the range is the set of all the output values values of f.

The domain of any quadratic function in the above form is all real values. Quadratic functions generally have the whole real line as their domain. 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.

There are other parts to number 8. Determine the domain and range of the function f of x is equal to 3x squared plus 6x minus 2. If the vertex is a maximum the range is all real numbers less than or equal to the y value.