Continuity Problem

[mop969]

How Do You Solve This Problem?

For what value of the constant c is the function f continuous on (-infinity, infinity)?
f(x) = (cx^2 + 5 x) if x < 2,
(x^3 - cx) if x >2 or =2
c =


Thanks.
Fixed It Thank You.

 

[Deleted member 4993]

How Do You Solve This Problem?

For what value of the constant c is the function f continuous on (-infinity, infinity)?
f(x) = (cx^2 + 5 x if x<2, ? Does not make sense - fix it!!
x^3 - cx if x> or =2
c =


Thanks.

 

[stapel]

How Do You Solve This Problem?

You review the definition and graphical interpretation of "continuity", note that the pieces of this piecewise function must "meet", and set up and solve the appropriate equation. :wink:

 

[mop969]

I have tried a couple ideas but I did not get the right answer can you explain the steps a little bit more.

 

[stapel]

I have tried a couple ideas but I did not get the right answer can you explain the steps a little bit more.

I'm not sure how to "explain the steps" for "setting the two pieces equal, and solving" you need "a little bit more" of...?

Please reply showing what you've done, so we can "see" where you're getting stuck in the process. Thank you! :wink:

 

[BigGlenntheHeavy]

Here's the plot. Can you take it from here?

Look back and ask yourself where do the two equations meet?, at that point they are equal.

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