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What is the output value of the given function when the input value is -8?

[tex]\[
\begin{array}{l}
y = 5x + 4 \\
(-8, [?])
\end{array}
\][/tex]


Sagot :

To determine the output value of the given function [tex]\( y = 5x + 4 \)[/tex] when the input value is [tex]\( x = -8 \)[/tex], follow these steps:

1. Start with the function [tex]\( y = 5x + 4 \)[/tex].
2. Substitute [tex]\( x = -8 \)[/tex] into the function.
3. Calculate the expression [tex]\( 5(-8) \)[/tex].

Let's go through the calculation:

1. Substitute [tex]\( x = -8 \)[/tex] into the function:
[tex]\[ y = 5(-8) + 4 \][/tex]

2. Multiply [tex]\( 5 \)[/tex] by [tex]\( -8 \)[/tex]:
[tex]\[ 5(-8) = -40 \][/tex]

3. Add [tex]\( 4 \)[/tex] to [tex]\( -40 \)[/tex]:
[tex]\[ -40 + 4 = -36 \][/tex]

So, the output value when the input value is [tex]\( -8 \)[/tex] is:
[tex]\[ y = -36 \][/tex]

Thus, the output of the function for [tex]\( x = -8 \)[/tex] is [tex]\( -36 \)[/tex].