Question

what is the output value of the given function when the input value is -8?
y = -3x + 11
(-8, ?)

Explanation:

Step1: Identify the input value

The input value \( x \) is given as \( -8 \).

Step2: Substitute the input value into the function

The function is \( y = -3x + 11 \). Substitute \( x = -8 \) into the function:

$$ y = -3(-8) + 11 $$

Step3: Perform the arithmetic operations

First, calculate \( -3(-8) \). Multiplying two negative numbers gives a positive result, so \( -3(-8) = 24 \).
Then, add 11 to this result:

$$ y = 24 + 11 = 35 $$

Answer:

35