What equation is the rule for the function illustrated by the table of values?

The equation which determined the rule for the function is:

Thus, option B is true.

Step-by-step explanation:

We know the slope-intercept form of line function is

y = mx+b

where m is the slope and b is the y-intercept

Given the table

x     -2       -1        0       1       2

y      -4       -1        2      5       8

Finding the slope between the points (-2, -4) and (-1, -1)

Thus, the slope of the function = m = 3

We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.

It is clear,

at x=0, y = 2

Thus, the y-intercept 'b' = 2

now substituting m = 3 and b =2 in the slope-intercept form

y = mx+b

y = 3x + 2

Therefore, the equation which determined the rule for the function is:

Thus, option B is true.

here is a big fat

b. f(x) = –√x + 3this is the correct answer