plz someone help??? I have no Idea how to do this
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Find the function rule.
x
–2
–1
0
1
2
y
9
4
–1
–6
–11
start with easy and go to harder, if you have to
assume a linear function ... y = m x + b
when x is 0 , y is -1 ... so b is -1
when x is -2 , y is 9 ... 9 = -2 m - 1 ... 10 = -2 m ... m = -5
when x is 2 , y is -11 ... -11 = 2 m - 1 ... -10 = 2 m ... m = -5
looks linear ... y = -5 x - 1 ... check some other points
To find the function rule for the given data, we need to look for a pattern between the values of x and y.
Looking at the data, we can see that as x increases by 1, y decreases by 5. This tells us that there is a linear relationship between x and y, and we can express it using a linear equation of the form y = mx + b, where m is the slope and b is the y-intercept.
To find the slope, we can choose any two points from the data. Let's choose the points (0, -1) and (1, -6).
Slope (m) = (change in y) / (change in x)
= (-6 - (-1)) / (1 - 0)
= (-6 + 1) / 1
= -5
Now that we have the slope, we can substitute it into the equation y = mx + b, along with one of the points to find the value of b (the y-intercept). Let's use the point (0, -1).
-1 = -5(0) + b
-1 = 0 + b
b = -1
Now we have the slope (m = -5) and the y-intercept (b = -1), we can write the function rule:
y = -5x - 1
So, the function rule for the given data is y = -5x - 1.