## AryaVegapunk one year ago f(x)= c^2 +7x if x<4. f(x)= x^3-cx if x>/=4. What is C?

1. AryaVegapunk

$f(x)= cx ^{2}+7x \rightarrow x<4$ $f(x)=x ^{3}-Cx \rightarrow x \ge 4$

2. anonymous

plug in the 4, then set the 2 pieces of the function equal to solve for c

3. anonymous

$16c+28=64-4c$

4. AryaVegapunk

Continuous on $\left( -\infty, \infty\right)$ ?

5. anonymous

that's how you would make f(x) continuous, by making the 2 pieces equal at 4

6. AryaVegapunk

Thank you!!

7. anonymous

you're welcome