For what values of a and b is the following function continuous at every x?

f(x) { -7 x less than/equal to 3
{ ax-b 3

Question

For what values of a and b is the following function continuous at every x? 

f(x) { -7  x less than/equal to 3
      { ax-b 3 < x < 1 
      {  3   x greater than/equal 1

For what values of a and b is the function f continuous at every x?

anonymous · Answer

Look at the boundary locations for each condition.

anonymous · Answer

Okay.

anonymous · Answer

By the way, $x$ is never greater than $3$ and less than $1$ at the same time.

anonymous · Answer

Okay so… what's my course of action now?

anonymous · Answer

For one, I don't think you wrote the problem correctly.

anonymous · Answer

attachment

anonymous · Answer

Okay, I see where I wrote it wrong. It's supposed to be -3

anonymous · Answer

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f(x) { -7  x less than/equal to -3
      { ax-b -3 < x < 1 
      {  3   x greater than/equal 1

anonymous · Answer

I apologize for my mistake!

anonymous · Answer

Okay, so which $x$ values does the function change pieces?

anonymous · Answer

-7 and 3 ?

anonymous · Answer

No, those are values of $f(x)$.  I'm talking about values of $x$.

anonymous · Answer

I don't know.

anonymous · Answer

At what value of $x$ does $f(x)$ chance from $7$ to $ax-b$?