SOLUTION: Are the functions continuous? 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.

Question 1139411: Are the functions continuous?
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
I think they are both not continuous but im not sure.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

3. ,
if is of the given value for
->
4. ,
->
In both examples 3. and 4. if is of the given value for , the DENOMINATOR of the function becomes ZERO which is undefined. Thus the function has a 'hole ' there and is continuous.
RELATED QUESTIONS
Is f continuous at c? Determine whether f is continuous at c. Use algebraic... (answered by greenestamps)

Let f (x) = {{{ (-0.25 + e^x)^(1/2) }}} Determine whether f is continuous from both... (answered by ikleyn)

Correct way Let f (x) = {{{ (-0.25 + e^x)^(1/2) }}} Determine whether f is... (answered by ikleyn)

determine whether f(x) = (x^2)/((x^2)-4) is continuous or not at x=2. give your... (answered by robertb)

The instructions say determine the domain for each of the following functions. State if... (answered by solver91311)

Determine whether the function f(x)=2x^2-x+2 as continuous at... (answered by stanbon)

You will be asked to determine whether each of the following quantitative variables is... (answered by user_dude2008)

Determine whether the five value is from a discrete or continuous data set. The... (answered by solver91311)

please help im going insane!!! {{{f(t)=1+tcos(pi*t),0<=t<=1}}} and... (answered by jim_thompson5910)