What is the average rate of change for this function for the interval fron x=2 to x=4

The average rate of change is 27.5.

When X = 2 so Y = 9

And,

When X = 4 So Y = 64

Now

The average rate of change is

= 27.5

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options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.