Question

In which of the following tables does the function have the greatest value when
x
=
10
?


image.png

image.png

image.png

image.png

Answer 1

I can’t see the images. Please either upload the four tables again or type each table’s x and y values here.

If you want to try it yourself, here’s how to get the function value at x = 10 for each table:

1. Look for the pattern in the y-values:
- If the differences between consecutive y’s are constant → linear. Compute slope m = (y2−y1)/(x2−x1), find b from y = mx + b, then evaluate y(10).
- If the ratios between consecutive y’s are constant → exponential. Compute ratio r = y2/y1, then y(10) = y_k * r^(10 − x_k) using any known point (x_k,y_k).
- If second differences are constant → quadratic. Use three points to solve for y = ax^2 + bx + c (or extend the second-difference pattern to x = 10).
- If neither, determine the rule from the table (could be piecewise or another formula) and apply it to x = 10.

2. Example (illustration):
- Table: x = 1,2,3 and y = 3,5,7. Differences are +2 → linear.
m = 2, use point (1,3): 3 = 2(1) + b → b = 1, so y = 2x + 1 → y(10) = 21.

Send the four tables and I’ll compute y(10) for each and tell you which is greatest.