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# Function problem

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Explain why a parabola has either a maximum value or a minimum value but never both?

Guest Jul 17, 2017

#1
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Look at a parabola. It's grows expotentially on two ends. If there is a maximum, then the growth is "downwards" (negative in the y axis), never ending meaning there is no minimum value.. If there is a minimum, then the growth is "upwards"(positive in the x axis), never ending meaning there is no maximum value.

Imagine the maximum and minimum values as the start of the road. If the road keep on growing without stopping, will there be an end?

#1
+27
0

Look at a parabola. It's grows expotentially on two ends. If there is a maximum, then the growth is "downwards" (negative in the y axis), never ending meaning there is no minimum value.. If there is a minimum, then the growth is "upwards"(positive in the x axis), never ending meaning there is no maximum value.

Imagine the maximum and minimum values as the start of the road. If the road keep on growing without stopping, will there be an end?