## Related questions with answers

Question

Explain how you can you tell whether a function of the form f(x) = ax² has a minimum or a maximum value and what that value is.

Solutions

VerifiedSolution A

Solution B

Answered 2 years ago

Step 1

1 of 2Let $f(x)=ax^2$ then the graph has minimum if $a<0$ and has maximum if $a>0$

Step 1

1 of 2A function of the form $f(x)=ax^2$ has a vertex at $(0,0)$.

When $a>0$, the parabola opens upward so the vertex is a minimum. So, the minimum value in this case is 0.

When $a<0$, the parabola opens downward so the vertex is a maximum. So, the maximum value in this case is 0.

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