Find the average rate of change for f(x) = x2 + 9x + 18 from x = −10 to x = 10. A) 3 B) 7 C) 9 D) 11
1 answer:
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Answer:
Using Geometry to answer the question would be the simplest:
Step-by-step explanation:
Remembering the formula for the area of a triangle which is . One can then tackle the question by doing the following:
Step 1 Find the y-intercepts
The y-intercepts are found by substituting in .
Which gives you this when you plug it into both equations:
So the y-intercepts for the graphs are , and
respectively.
Now one has to use elimination to solve the problems by adding up the equations we get:
Now to solve for the y component substitute:
Therefore, the graphs intersect at the following:
Now we have our triangle which is accompanied by the graph.
now to solve it we must figure out how long the base is:
The height must also be accounted for which is the following:
Now the formula can be used:
