What is the value of the function when x = -3 in the piecewise function

[tex]g(x) = \begin{cases} -2x + 2 & \text{when } x < 1 \\ 3x & \text{when } x \ge 1 \end{cases}[/tex]

For the piecewise function g ( x ) , when x = − 3 , we use the first piece: g ( x ) = − 2 x + 2 . After substituting, we find g ( − 3 ) = 8 . Therefore, the value of the function is 8.
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Answered by Anonymous | 2025-07-04

To find the value of the function g ( x ) when x = − 3 in the given piecewise function, we follow these steps:

Identify the correct piece of the piecewise function to use:


The function is defined as: g ( x ) = { − 2 x + 2 3 x ​ when x < 1 when x ≥ 1 ​

Since x = − 3 , which is less than 1, we use the first part of the function: − 2 x + 2 .



Substitute x = − 3 into the first piece of the function:


g ( − 3 ) = − 2 ( − 3 ) + 2


Calculate the expression:


g ( − 3 ) = 6 + 2 = 8

Therefore, the value of the function g ( x ) when x = − 3 is 8 .

Answered by BenjaminOwenLewis | 2025-07-06