For what value of is the function defined by f(x)= cases (x^ 2 -2 x ), & if x 0 4…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

18. For what value of

\lambda

is the function defined by

f(x)= \begin{cases}\lambda\left(x^{2}-2 x\right), & \text { if } x \leq 0 \\ 4 x+1, & \text { if } x>0\end{cases}

continuous at

x=0

? What about continuity at

x=1