MediumMathematicsHigh School (11–12)Functions and Calculus › Graphs of FunctionsConceptualBoard Exam AP

For f(x) = -x² + 10x, find the interval on which f is increasing, the interval on which it is…

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For $f(x) = -x^2 + 10x$ , find the interval on which $f$ is increasing, the interval on which it is decreasing, and the turning point.

Need a reminder? The key ideaShow

$y = ax^2 + bx + c$ has its vertex at $x = -\dfrac{b}{2a}$ and opens upward when $a > 0$ . Completing the square, $a(x - h)^2 + k$ , gives the vertex $(h, k)$ and the range.

The worked solution

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For f(x) = -x² + 10x, find the interval on which f is increasing, the interval on which it is…

The worked solution

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