Complete the function table. Then write a rule for the function. Input= -3, -2, -1, 0, 1. Output= ?, -4, ?, ?, -1.
1 answer:
Answer:
y = x -2
Step-by-step explanation:
The simplest function rule that will match the two given inputs and outputs is a linear function. We see that the output changes by -1-(-4) = 3 when the input changes by 1-(-2) = 3, so the slope is 3/3 = 1.
The output is 2 less than the input for both of the given table values, so we can write the rule as ...
y = x - 2
The table will look like the one attached. (Given value pairs are highlighted.)
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Answer:
y = -x + 4
Step-by-step explanation:
(x₁,y₁)= (5, - 1) & (x₂,y₂)= (2 , 2)
Slope =
m = -1
Equation of the line y - y₁ = m(x - x₁)
y - [-1] = (-1)*(x - 5)
y + 1 = -x + 5 {-1 is distributed}
y = -x + 5 - 1
y = -x + 4