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Which of the following key characteristics is NOT true of a quadratic function?

(1 point)
Responses

Range is all real numbers.
Range is all real numbers.

Shape is a parabola.
Shape is a parabola.

Rate of Change is not constant.
Rate of Change is not constant.

It has only one vertex.

1 answer

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

Range is all real numbers.

For a quadratic function, the range depends on the direction of the parabola (whether it opens upwards or downwards). If the parabola opens upwards, the range is all real numbers greater than or equal to the y-coordinate of the vertex, and if it opens downwards, the range is all real numbers less than or equal to the y-coordinate of the vertex. Therefore, the range is not all real numbers in general.