Given that $f ( x ) = \left\{ \begin{array} { c }
4 x ^ { 2 } + 2 \text { if } x

Question

Given that $f ( x ) = \left\{ \begin{array} { c } 
4 x ^ { 2 } + 2 \text { if } x < 0 \
3 x + a \text { if } x \geq 0
\end{array} \right.$ , find a real number $a$ a that makes $f$ continuous at $x = 0 .$

Quizplus · Accepted Answer

The Answer of Given that $f ( x ) = \left\{ \begin{array} { c } 
4 x ^ { 2 } + 2 \text { if } x < 0 \
3 x + a \text { if } x \geq 0
\end{array} \right.$ , find a real number $a$ a that makes $f$ continuous at $x = 0 .$

Given That f(x)={4x2+2 if x<03x+a if x≥0f ( x ) = \left\{ \begin{array} { c } 4 x ^ { 2 } + 2 \text { if } x < 0 \\3 x + a \text { if } x \geq 0\end{array} \right.f(x)={4x2+2 if x<03x+a if x≥0​

Given That $f ( x ) = \left\{ \begin{array} { c } 4 x ^ { 2 } + 2 \text { if } x < 0 \\3 x + a \text { if } x \geq 0\end{array} \right.$