Question

Which of the following key characteristics is not true of a quadratic function
Range is all real numbers
Shape is a parabola
Rate of change is not constant it has only one vertex

Answer 1

The key characteristic that is not true of a quadratic function is:

**Range is all real numbers.**

For a quadratic function, the range is not all real numbers; instead, it depends on the direction of the parabola (opening upwards or downwards) and the vertex. If the parabola opens upwards, the range will be all real numbers greater than or equal to the y-coordinate of the vertex. If it opens downwards, the range will be all real numbers less than or equal to the y-coordinate of the vertex. Therefore, it is incorrect to say that the range is all real numbers for all quadratic functions.