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Ugo [173]
3 years ago
13

Find the average rate of change for the given function from x = 1 to x = 2.

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
7 0

Answer:

2

Step-by-step explanation:

The average rate of change from x=1 to x=2 is the same as finding the slope of a line at x=1 and x=2.

So we are going to need to corresponding y coordinates.

What y corresponds to x=1? y=3

What y corresponds to x=2? y=5

So we have the ordered pairs (1,3) and (2,5).

Line the points up vertically and subtract vertically then put 2nd difference over 1st difference.

(2 , 5)

-(1  , 3)

-----------

1      2

The average rate of change is 2/1 or just 2.

Now since we were asked to find the average rate of change given the function was a line, it really didn't matter what two points you used on that line.

malfutka [58]3 years ago
6 0

Answer: Fourth option

m=2

Step-by-step explanation:

If we call m the average change rate of a function between x_1 and x_2, then, by definition:

m=\frac{f(x_2)-f(x_1)}{x_2-x_1}

In this case the function is the line shown in the graph. Then we look for the values of y = f (x) for x = 1 and x = 2

When x=1 then f(x)=3

When x=2 then f(x)=5

Therefore

m=\frac{5-3}{2-1}

m=\frac{2}{1}

m=2

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