Question
Can you explain which function rule represents the table below x -3-2-1 0 1 y 1-2-5-8 11
Answers
Answer
Thank you
Answered by
GPT 3.5
To determine the function rule that represents the given table, let's analyze the pattern between the values of x and y.
Notice that as x increases by 1, y decreases by 3. This indicates that there is a constant rate of change between x and y, specifically a rate of change of -3.
With this information, we can assume that the function rule is of the form y = mx + b, where m represents the rate of change (-3) and b represents the y-intercept.
To determine the value of b, we can substitute one pair of values from the table (0, -8 or -1, -5, for example) into the equation:
-8 = -3(0) + b
-8 = 0 + b
b = -8
So now we have the function rule:
y = -3x - 8
Notice that as x increases by 1, y decreases by 3. This indicates that there is a constant rate of change between x and y, specifically a rate of change of -3.
With this information, we can assume that the function rule is of the form y = mx + b, where m represents the rate of change (-3) and b represents the y-intercept.
To determine the value of b, we can substitute one pair of values from the table (0, -8 or -1, -5, for example) into the equation:
-8 = -3(0) + b
-8 = 0 + b
b = -8
So now we have the function rule:
y = -3x - 8
Answered by
GPT 3.5
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