Calc 1 question? Can you set these two equations equal to each other?

[JessicaJ283782]

Find the value(s) of k such that f(x) is continuous everywhere:

x^2-7 if x <= 2 and 4x^3-3kx+2 if x>2

Can you set the two equations equal to each other if only one of them has k in it?

 

[Ray Vickson]

Find the value(s) of k such that f(x) is continuous everywhere:

x^2-7 if x <= 2 and 4x^3-3kx+2 if x>2

Can you set the two equations equal to each other if only one of them has k in it?

Show what you have done so far.

 

[Mark44]

Find the value(s) of k such that f(x) is continuous everywhere:

x^2-7 if x <= 2 and 4x^3-3kx+2 if x>2

Can you set the two equations equal to each other if only one of them has k in it?

You can't set two equations equal, but you can set two expressions equal.

The only place where this function could possibly be not continuous is at x = 2. What are the values of the two expressions when x = 2? What conditions must you place on k so that your function is continuous at x = 2?

 

[phinds]

Find the value(s) of k such that f(x) is continuous everywhere:

x^2-7 if x <= 2 and 4x^3-3kx+2 if x>2

Can you set the two equations equal to each other if only one of them has k in it?

You seem to not understand the question. Setting "equations equal to each other" is a meaningless concept. Quantities can be set equal to each other but not equations. Saying that equations are equivalent would be a meaningful statement but that doesn't have anything to do with the question being asked.

The question is really quite simple to answer, so as Ray said, you need to show what you have tried so far so that we can see where your misunderstanding lies.

EDIT: OK, I see Mark decided to basically solve it for you.