How do you know if domain or range is all real numbers?

Are quadratic domains all real numbers?

For every polynomial function (such as quadratic functions for example), the domain is all real numbers. if the parabola is opening upwards, i.e. a > 0 , the range is y ≥ k ; if the parabola is opening downwards, i.e. a < 0="" ,="" the="" range="" is="" y="" ≤="" k="">

Is the domain on a graph always all real numbers?

For most functions in algebra, the domain is the set of all real numbers . But, there are two cases where this is not always true, fractions with a variable in the denominator and radicals with an even index.

Do parabolas always have infinite domain?

If you know the vertex of the parabola, the y value will be either the maximum or minimum of the parabola determined by whether it opens up or down. If it is a parabola the domain is negative infinity to infinity or all real number the range is the one that is limited.

Why can't the range of a parabola be all real numbers?

no, the range of a quadratic function cannot be all real numbers because there must be a vertex somewhere that gives the maximum or minimum value of the function.