Sure, let's solve this step-by-step.
We are given the function:
[tex]\[ y = -3x + 11 \][/tex]
We need to find the value of [tex]\( y \)[/tex] when [tex]\( x = -8 \)[/tex].
1. Substituting [tex]\( x = -8 \)[/tex] into the function:
[tex]\[ y = -3(-8) + 11 \][/tex]
2. Calculate the multiplication first:
[tex]\[ y = 24 + 11 \][/tex]
(since [tex]\(-3 \times -8 = 24\)[/tex])
3. Add the numbers:
[tex]\[ y = 35 \][/tex]
Therefore, when [tex]\( x = -8 \)[/tex], the output value of the function is:
[tex]\[ y = 35 \][/tex]
