f(x)= mx, x<4 and x^2, x> or =4

Printable View

- Jun 6th 2012, 07:10 PMsluggerbrothfind values of m and n so function is continuous
f(x)= mx, x<4 and x^2, x> or =4

- Jun 6th 2012, 07:48 PMSorobanRe: find values of m and n so function is continuous
Hello, sluggerbroth!

$\displaystyle \text{Where is the }n\,?$

Quote:

$\displaystyle f(x) \:=\:\begin{Bmatrix}mx & \text{ if }x < 4 \\ x^2 & \text{ if }x \ge 4 \end{array}$

$\displaystyle \text{Find values of }m\text{ and }n\text{ so }f(x)\text{ is continuous.}$

Equate both branches of the function.

Substitute $\displaystyle x = 4.$

Solve for $\displaystyle m.$

- Jun 6th 2012, 08:00 PMsluggerbrothRe: find values of m and n so function is continuous
are you saying 4m=16 and solve for m=4???