Question

Find the function rule, show all work.

Answer 1

Answer:

y=-5x-1

Step-by-step explanation:

hi ^_^

Answer 2

Answer:

y = -5x - 1

Step-by-step explanation:

Note that as x increases from -2 to -1, y decreases from 9 to 4, a drop of 5.

Similarly, if x increases from 0 to 1, y decreases from -1 to -6, a drop of 5.

Thus, this table represents a decreasing linear function.

The slope of this line is m = rise / run = -5 / 1, or just -5.

Using the point-slope formula for the equation of a straight line:

y -k = m(x - h).  Here, the slope, m, is -5, and one point on the line is (0, -1).

Thus, we have y + 1 = -5(x - 0), or y = -5x - 1.

The "function rule" here is y = -5x - 1, a linear function.