Question

Choose the function that represents the data in the table.



f(x) = x200 – 7
f(x) = 200x – 7
f(x) = 200x2 – 7
f(x) = 200x – 7

Answer 1

I don't see the table — could you paste the x and f(x) values?

Meanwhile, here is a quick way to tell which formula fits: evaluate each candidate at a couple of x-values from the table and compare.

Evaluate at x = 0, 1, 2:

- f(x) = x^200 − 7:
- f(0) = 0^200 − 7 = −7
- f(1) = 1 − 7 = −6
- f(2) = 2^200 − 7 (an enormous number)

- f(x) = 200x − 7:
- f(0) = −7
- f(1) = 193
- f(2) = 393

- f(x) = 200x^2 − 7:
- f(0) = −7
- f(1) = 193
- f(2) = 200·4 − 7 = 793

Compare these values to the table entries. If f(1)=193 and f(2)=393 the linear 200x−7 is correct; if f(1)=193 and f(2)=793 the quadratic 200x^2−7 is correct; if f(1)=−6 (and f(2) is astronomically large) the x^200−7 is correct.

Send the table values and I’ll pick the exact function.