Find the domain of the function expressed by the formula:y=x^2+8
AllRealNumbers
There is a y for any old x so
domain is all real x
the range however is limited because x^2 is never negative y>/= 8
It is a parabola with axis of symmetry on y axis and opening upward (holds water. Vertex at (0,8)
To find the domain of the function expressed by the formula y = x^2 + 8, we need to determine what values of x are allowed.
The function y = x^2 + 8 represents a quadratic equation. In a quadratic equation, any real number can be squared, so there are no restrictions on the x-values. Therefore, the domain of this function is all real numbers.
In set notation, the domain is represented as (-∞, +∞).
To find the domain of the function, we need to determine the set of all possible x-values for which the function is defined.
In this case, the function is a polynomial expression y = x^2 + 8.
Since polynomials are defined for all real numbers, there are no restrictions on the x-values. Therefore, the domain of the function is all real numbers, or (-∞, ∞).