Afunction is represented by the table. x y 3 -2 5 -26 7 -50 the rate of change of the function represented in the table is . for the given x- and y-values, the function is ?

For the first two given points, ...

... (change in y-value)/(change in x-value) = (-26 -(-2))/(5 -3) = -24/2 = -12

This is the rate of change of the function. Checking the next two points, we find it is the same:

... (-50 -(-26))/(7 -5) = -24/2 = -12

That means the function is linear.

a) The rate of change of the function is -12.

b) The function can be written using the point-slope form of the equation for a line. That equation is

... y = m(x -h) +k

where m is the rate of change, and (h, k) is an (x, y) pair that is part of the function definition.

Here, that could be ...

... y = -12(x -3) -2

Some folks like it in a form without parentheses.

... y = -12x +34

would it be increasing or decreasing

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where are the options?

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