A system of equations with one linear function and one quadratic function could have infinitely many solutions.

True

False

1 answer

False.

A system of equations consisting of one linear function and one quadratic function typically has either no solutions, one solution, or two solutions. It is not possible for such a system to have infinitely many solutions because a linear function is a straight line and a quadratic function is a parabola. These two types of functions can intersect at most twice, meaning the solutions are limited to a finite number for their intersections.