Tuesday

November 25, 2014

November 25, 2014

Posted by **Kate** on Tuesday, September 9, 2008 at 10:09pm.

f(x)= kx

0 (less than or equal to) x (less than) 2

3x^2

2 (less than or equal to x)

i know the answer is 12 but i don't know how to arrive at that. could you please walk me through the steps? thanks.

- Math/Calculus -
**drwls**, Wednesday, September 10, 2008 at 4:17amkx and 3x^2 are continuous where they apply. What you have to to is make sure they both give the same value at x=2, where one functional form changes to the other.

Thus require that 3x^2 = kx at x = 2.

3*4 = 2k

k = 6. The value of the function at x=2 is 12.

**Answer this Question**

**Related Questions**

calculus - Consider the function f(x)=65x−cos(x)+2 on the interval 0 less ...

ap stats - Continuous Random Variable, I Let X be a random number between 0 and ...

stats - Continuous Random Variable, I Let X be a random number between 0 and 1 ...

Calculus - Consider the function f(x)=6x-cos(x)+5 on the interval 0 is less than...

Calculus - Find the constants a and b such that the function is continuous on ...

Calculus - A 0.2 ml dose of a drug is injected into a patient steadily for 0.75 ...

Calculus c - Let f be a twice-differentiable function defined on the interval -1...

Calculus - Let f be a twice-differentiable function defined on the interval -1.2...

Statistics - Let Y be a random number between 0 and 1 generated by an idealized ...

calculus - A 0.2 ml dose of a drug is injected into a patient steadily for 0.75 ...