Respuesta :

coolstick
Looking for patterns, we can easily see that we subtract 2 for every 2 inputs. Therefore, the slope is change in y/change in x=(0-(-2))/(1-3)=2/-2=-1. Therefore, our equation is at y=-x+b since from y=mx+b we have m as the slope, which is -1 in this case. Plugging (5, -4) in, we get 5=4+b. Subtracting 4 from both sides, we get b=1, making our equation y=-x+1 since y and x should stay as variables

The equation that describes the function is f(x) = -x + 1

Function:

  • A function is just a relationship between an input and an output values.

The table represents a linear function. Therefore, let's use slope formula to

write the equation;

  • y = mx + b

where

m = slope

b = y-intercept

m = -2 - 0 / 3 - 1 = - 2 / 2 = -1

y = -x + b

let's find b using (1, 0)

0 = -1 + b

b = 1

Therefore,

y = -x + 1

The function can be written as f(x) = -x + 1

learn more on functions: https://brainly.com/question/20882738?referrer=searchResults

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