given the function g(x)=x^2+5x-2 determine the average rate of change of the function over the interval -9 ≤ x ≤ 3
1 answer:
The average rate of change over an interval is the same as the slope between those two values. The formulate for slope is:
You are given the x values: x2=3 and x1=-9. Plug in these x values to g(x) find the y values:
g(3)=3^2+5(3)-2=9+15-2=22
g(-9)=(-9)^2+5(-9)-2=81-45-2=34
Now, you can solve for m:
m=(22-34)/(3--9)
m=-12/12
m=1
Hope this helps!!
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First way. So let's take the number 10 and explain this problem using triangles. Let's say that we have 10 triangles in the beginning:
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So I want to take away 3 triangles, then by taking away 3<em> what is left? </em>Well the answer is 7:
Δ Δ Δ Δ Δ
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That is, if we subtract 3 from 10 then the result is:
Second way. In this subtraction we take the same 10 triangles:
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Δ Δ Δ Δ Δ
Now I want to take away 7 triangles, then by taking away 7 what is left is 3:
Δ Δ Δ
That is, if we subtract 7 from 10 then the result is:
</span><span>
First way. So let's take the number 10 and explain this problem using triangles. Let's say that we have 10 triangles in the beginning:
</span>Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ
So I want to take away 3 triangles, then by taking away 3<em> what is left? </em>Well the answer is 7:
Δ Δ Δ Δ Δ
Δ Δ
That is, if we subtract 3 from 10 then the result is:
Second way. In this subtraction we take the same 10 triangles:
Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ
Now I want to take away 7 triangles, then by taking away 7 what is left is 3:
Δ Δ Δ
That is, if we subtract 7 from 10 then the result is: