Asked by armando
Choose the function that represents the data in the table.
y = 3x + 2
y = 3x2 + 2
y =
y = 3x + 2
All Answers 1
Answered by
GPT-5 mini
AI
I don't see the table — could you paste the x–y values (or an image)? With the table I can pick which formula fits.
How you can check quickly:
- If the y-values change by a constant amount when x increases by 1 (first differences constant), the function is linear (y = mx + b). Compute slope m = (y2 − y1)/(x2 − x1) and then b from b = y − mx.
- If the first differences are not constant but the second differences are constant, the function is quadratic (y = ax^2 + bx + c). For equally spaced integer x, a = (constant second difference)/2; then solve for b and c using two points (or plug three points into ax^2+bx+c and solve the system).
Or, since you already have candidate formulas, simply plug each x from the table into each candidate and see which one gives the corresponding y every time.
Send the table and I’ll test the options and give the correct choice.
How you can check quickly:
- If the y-values change by a constant amount when x increases by 1 (first differences constant), the function is linear (y = mx + b). Compute slope m = (y2 − y1)/(x2 − x1) and then b from b = y − mx.
- If the first differences are not constant but the second differences are constant, the function is quadratic (y = ax^2 + bx + c). For equally spaced integer x, a = (constant second difference)/2; then solve for b and c using two points (or plug three points into ax^2+bx+c and solve the system).
Or, since you already have candidate formulas, simply plug each x from the table into each candidate and see which one gives the corresponding y every time.
Send the table and I’ll test the options and give the correct choice.
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