Graph the function.
-$G ( x ) = \left\{ \begin{array} { l l }
| x | + 5 , & x

Question

Graph the function.
-$G ( x ) = \left\{ \begin{array} { l l } 
| x | + 5 , & x < 0 \
5 , & x \geq 0
\end{array} \right.$

Quizplus · Accepted Answer

For x < 0, the function is |x| + 5 which means that it is equal to the absolute value of x plus 5. This forms a V-shaped graph with its vertex at the origin (0, 5) and it opens upwards with a slope of 1.

For x ≥ 0, the function is simply 5 which means that it is a horizontal line passing through the y-axis at 5.

Therefore, the graph of the function is a V-shaped graph with its vertex at the origin and a horizontal line passing through the y-axis at 5.

Option B represents this graph accurately.

Graph the Function G(x)={∣x∣+5,x<05,x≥0G ( x ) = \left\{ \begin{array} { l l } | x | + 5 , & x < 0 \\5 , & x \geq 0\end{array} \right.G(x)={∣x∣+5,5,​x<0x≥0​

Graph the Function $G ( x ) = \left\{ \begin{array} { l l } | x | + 5 , & x < 0 \\5 , & x \geq 0\end{array} \right.$