Question

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Use a graphing calculator to approximate (to three decimal places) the
minimum and maximum values for f(x) = -2x5 - x2 + 5x + 3.

Answer 1

Answer:

See below (and graph)

Step-by-step explanation:

Review the attached graph for the minimum and maximum values.

Note: This problem can also be solved with Calculus. Do not read ahead if you don't understand Calculus.

The local maximums and minimums of a function are where $f'(x)=0$, thus, by taking the derivative of $f(x)=-2x^5-x^2+5x+3$, we have  $f'(x)=-10x^4-2x+5$. Setting the derivative equal to 0, you will obtain the same values by graphing the equation.