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Practice – Find limits from graphs

Questions :

The graph of function f(x), (defined for all real numbers) is given below. Find :

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The graph of function f(x), (defined for all real numbers) is given below. Find :

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The graph of function f(x), (defined for all real numbers) is given below. Find :

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Pay attention: The second problem is asking for the value of the function at x = -2

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The graph of function f(x), (defined for all real numbers) is given below. Find :

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Pay attention: The second problem is asking for the value of the function at x = -2

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The graph of function f(x), (defined for all real numbers) is given below. Find :

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The graph of function f(x), (defined for all real numbers) is given below. Find :

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Explanations :

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Remember: A function can have limits even if a point on the function is not defined ( open circle).

Remember: When you see a discontinuity in a function, check for both left and right-hand limits.

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Remember: When you see a discontinuity in a function, check for both left and right-hand limits.

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Point: This is an example when a function has a limit that is different from the value of the function at that point.

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