Answer
without graphing a quadratic function, the number of $x$-intercepts
can be determined using the discriminant
Work Step by Step
The number of $x$-intercepts of the graph of a quadratic function can be determined using the discriminant. If the discriminant (given as $b^2-4ac$) is greater than zero, then there are two $x$-intrecepts. If the discriminant is zero, there is one $x$-intercept. And if the discriminant is less than zero, then there is no $x$-intercept.
