How do you know if a graph has a domain of all real numbers?

Why is the domain always all real numbers?

This equation is in a factored form. The domain is all real numbers because there is no restriction for the value of x, or the input. Because the equation is in a factored form, the x-intercepts can be identified easily. The equation f(x)=−4(x+4)(x−6) shows that the x-intercepts are at -4 and 6.

Why is the domain of a quadratic all real numbers?

It's true that the domain of quadratic functions f(x)=ax2+bx+c f ( x ) = a x 2 + b x + c is all real numbers. There are no operations like division or logs or square roots that ever give us undefined outputs, so there are no real inputs that are not in the domain of f(x) .

What do you put if the domain is all real numbers?

If the domain of a function is all real numbers, you can represent this using interval notation as (−∞,∞).

When the domain is all real numbers What is the range?

The domain of this function is , all real numbers, but what about the range? The range of the function is the set of all real numbers greater than or equal to zero. This is the case because every y value is the square of an x value. If we square positive and negative numbers, the result will always be positive.