Question

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

Answer 1

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

Answer 2

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

Answer 3

\[16c+28=64-4c\]

Answer 4

Continuous on \[\left( -\infty, \infty\right)\] ?

Answer 5

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

Answer 6

Thank you!!

Answer 7

you're welcome