Find constants a and b such that the function $$f ( x ) = \left\{ \begin{array} { l l }
18 , & x \leq - 3 \
ax + b , & - 3

Question

Find constants a and b such that the function $$f ( x ) = \left\{ \begin{array} { l l } 
18 , & x \leq - 3 \
ax + b , & - 3 < x < 9 \
- 18 , & x \geq 9
\end{array} \right.$$ is continuous on the entire real line.
A)a = 3 , b = 0
B)a = 3 , b = 9
C)a = 3 , b = -9
D)a = -3 , b = -9
E)a = -3 , b = 9

Quizplus · Accepted Answer

The Answer of Find constants a and b such that the function $$f ( x ) = \left\{ \begin{array} { l l } 
18 , & x \leq - 3 \
ax + b , & - 3 < x < 9 \
- 18 , & x \geq 9
\end{array} \right.$$ is continuous on the entire real line.
A)a = 3 , b = 0
B)a = 3 , b = 9
C)a = 3 , b = -9
D)a = -3 , b = -9
E)a = -3 , b = 9

Find Constants a and B Such That the Function f(x)={18,x≤−3ax+b,−3<x<9−18,x≥9f ( x ) = \left\{ \begin{array} { l l } 18 , & x \leq - 3 \\ax + b , & - 3 < x < 9 \\- 18 , & x \geq 9\end{array} \right.f(x)=⎩⎨⎧​18,ax+b,−18,​x≤−3−3<x<9x≥9​

Find Constants a and B Such That the Function $f ( x ) = \left\{ \begin{array} { l l } 18 , & x \leq - 3 \\ax + b , & - 3 < x < 9 \\- 18 , & x \geq 9\end{array} \right.$