Math  /  Calculus

Question Find the relative extrema of f(x)=4x+x2f(x) = -4 - x + x^2. Identify the intervals where the function is increasing and decreasing, and sketch the graph.

Studdy Solution
Combine the results to answer the problem:
- The relative minimum point(s) is/are (12,174) \left(\frac{1}{2}, -\frac{17}{4}\right) and there are no relative maximum points. - The function f(x) f(x) is increasing over the interval (12,) (\frac{1}{2}, \infty) and decreasing over the interval (,12) (-\infty, \frac{1}{2}) .

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