Question

The table represents the function of x.

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled f (x) with entries 0, negative 1, negative 2, negative 3.

Which equation represents the function represented by the table?
f (x)= –x – 1
f (x) = –x + 1
f (x) = x – 1
f (x) = 1 – x

Answer 1

f(x) = -x - 1

Reason: The outputs decrease by 1 when x increases by 1, so the slope is -1. Using f(0) = -1 gives the intercept b = -1, so f(x) = -x - 1.