f(x)=[x^3-2x^2] find the values of x that make this function not continuous
[]-absolute value

Question

f(x)=[x^3-2x^2] find the values of x that make this function not continuous
[]->absolute value

mathmale · Answer

If you're discussing an absolute value function here, write it as y = |x^3 - 2x^2|.

mathmale · Answer

First:  think about what a "not continuous" function would look like.  Is there anything about  y=|x^3 - 2x^2| that would make you think that the graph is broken?  Is there a denominator?  Think about this.  Look up "continuity."  Then decide how to respond to this question.

anonymous · Answer

the function is continuous everywhere right?

mathmale · Answer

Because there's no division by zero, that would be my conclusion.  Nice work!

anonymous · Answer

f(x)=x+3/|x^3+3x|
this function should not be continuous for the values 0 and -3 right?

anonymous · Answer

f(x)=x+3/|x^3+3x|
this function should not be continuous for the values 0 and -3 right?

mathmale · Answer

At any x at which the denominator is zero, right.  Your answers sound correct!  You could check by graphing this function on a graphing calculator.