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
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.