Questions: Use a graphing utility to graph f(x)=-0.4 x^3-0.7 x^2+5 x-5 on the interval [-6,4] and approximate any local maxima and local minima. Determine where f is increasing and where it is decreasing. Using a graphing utility, graph the function for -6 ≤ x ≤ 4 and -25 ≤ y ≤ 10.

Use a graphing utility to graph f(x)=-0.4 x^3-0.7 x^2+5 x-5 on the interval [-6,4] and approximate any local maxima and local minima.
Determine where f is increasing and where it is decreasing.
Using a graphing utility, graph the function for -6 ≤ x ≤ 4 and -25 ≤ y ≤ 10.
Transcript text: Use a graphing utility to graph \(f(x)=-0.4 x^{3}-0.7 x^{2}+5 x-5\) on the interval \([-6,4]\) and approximate any local maxima and local minima. Determine where \(f\) is increasing and where it is decreasing. Using a graphing utility, graph the function for \(-6 \leq x \leq 4\) and \(-25 \leq y \leq 10\).
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Solution

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Solution Steps

Step 1: Graph the function

Using a graphing utility, graph the function f(x) = -0.4x³ - 0.7x² + 5x - 5 with the window -6 ≤ x ≤ 4 and -25 ≤ y ≤ 10.

Step 2: Compare with the given options

Comparing the graph obtained in the previous step with the options provided, we observe that option B matches the graph of the given function within the specified window.

Final Answer:

The correct graph is B.

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