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Determine whether f is continuous at c.  Use algebraic substitution, graphing, and or tables to determine

 

 

3. f(x) = (x+3)/(x-3), c = 3

 

4. f(x) = (x^2 + 3x)/(x^2 - 3x), c = 0

 Apr 19, 2019
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In both examples 3. and 4.  if c is of the given value for x, the DENOMINATOR of the function becomes ZERO....which is undefined, and thus the function has a 'hole ' there.....and is not continuous.

 Apr 19, 2019

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