Question

Choose the function that represents the data in the table.



y = 0.5x2 + 6
y = 0.5x + 6
y = 0.5x + 6
y = x0.5 + 6

Answer 1

I don't see the table — can you paste the x and y values (or an image of the table)?

If you want to decide yourself, here are quick tests you can use once you have the table (assume x increases by 1 each row):

- Linear (y = mx + b): first differences Δy = y2−y1, y3−y2, ... are all the same.
- Quadratic (y = ax^2 + bx + c): first differences are not constant but second differences Δ^2y are constant. If x increments by 1, a = (constant second difference)/2.
- Exponential (y = A·B^x): successive ratios y_{n+1}/y_n are constant.
- Power with exponent 1/2 (y = x^0.5 + 6): you can check whether y−6 equals √x (or is proportional to x^0.5).

Also note the option text looks ambiguous: e.g.
- "0.5x2" likely means 0.5x^2
- "x0.5" likely means x^0.5
- "0.5x + 6" is linear

Send the table and I’ll pick the correct function and show the work.