Question

Find the increasing functions. Then arrange the increasing functions in order from least to greatest rate of change?

Answer 1

We are given functions:

y=5/2 x +10

y=-1/2 x +1/2

y=3/2 x -11/2

y=1/2 x -2

y=4/3 x -7/3

y=3/4 x -10.

We need to find least to greatest rate of change.

The slope of a function is the rate of change of a function.

If we compare given function from the slope-intercept form y=mx+b, we get the following slopes:

5/2, -1/2, 3/2, 1/2, 4/3, 3/4.

Now, let us write those rate of changes(slopes) from least to greatest:

-1/2, 1/2, 3/4, 4/3, 3/2, 5/2.

So, we can arrange the functions from least to greatest rate of changes as following:

y=-1/2 x +1/2 ,

y=1/2 x -2,

y=3/4 x -10,

y=4/3 x -7/3,

y=3/2 x -11/2,

y=5/2 x +10.

Answer 2

M+ lb 7 =9 plus 27 and that would mean ABCDEF would go in order as FdCba