Matching f with f'

Given the graph of f(x) shown, over what interval(s) will the derivative, f'(x) be positive?

• $\left(-\infty\ ,\ -3\right)\ U\ \left(-2\ ,\ -1\ \right)$

• $\left(-3.25\ ,\ -2.5\ \right)\ U\ \left(-1.5\ ,\ -.75\ \right)$

• $\left(-3\ ,\ -2\ \right)\ U\ \left(-1\ ,\ -\infty\ \right)$

• $\left(-3\ ,\ -2\ \right)\ U\ \left(-1\ ,\ \infty\ \right)$

Given the graph of f(x) shown, over what interval(s) will the derivative, f'(x) be negative?

• $\left(-\infty\ ,\ -3\right)\ U\ \left(-2\ ,\ -1\ \right)$

•  $\left(-2.5\ ,\ 1.5\ \right)$ 

• $\left(-3\ ,\ -2\ \right)\ U\ \left(-1\ ,\ -\infty\ \right)$

• $\left(-3\ ,\ -2\ \right)\ U\ \left(-1\ ,\ \infty\ \right)$

Given the graph of f(x) shown, which graph below could be the derivative, f'(x)?

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Given the graph of f(x) shown, which graph below could be the derivative, f'(x)?

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Given the graph of f(x) shown, which graph below could be the derivative, f'(x)?

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Given the graph of f(x) shown, what is the derivative of the function at x=1? In other words, what is f '(1)?

Hint: Remember, the derivative tells us the slope!

• Cannot be determined

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• -1

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Given the graph of f(x) shown, what is the derivative of the function at x=3? In other words, what is f '(3)?

Hint: Remember, the derivative tells us the slope!

• Cannot be determined

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• -1

• 1

Given the graph of f(x) shown, over what interval(s) is f(x) increasing?

Given the graph of f(x) shown, which graph below could be the derivative, f'(x)?

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Given the graph of f(x) shown, which graph below could be the derivative, f'(x)?

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