What is the average rate of change of f(x)=2x^2+4x-3 between x=1 and x=6

1 answer:

6 0

The ave. r. of c. of a function f(x) on the interval [a,b] is given by:

f(b) - f(a)
a.r.c. = --------------
b - a

Here f(x) = 2x^2 + 4x - 3, a = 1 and b = 6. Therefore,

f(a) = f(1) = 2(1)^2 + 4(1) - 3 = 3, and f(b) = f(6) = 2(6)^2 + 4(6) - 3 = 93

So the a. r. c. is then

93 - 3 90
a.r.c. = ---------- = --------- = 18 (answer)
6-1 5

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Ellen makes and sells bookmarks. She graphs the number of bookmarks sold compared to the total money earned. What is the rate of

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IfIf she graphs the number of bookmarks sold compared to the total money earned. The rate of change for the function graphed to the left is: 5/2.

<h3>Rate of change</h3>

Based on the graph the coordinate are:

(4,0), (8,10), (12,20)

Using slope formula to find the rate of change Slope=y2-y1/x2-x1

Hence,

(x1-y1)=(4,0) & (x2 -y2)= (8,10)

Let plug in the formula

Slope=10-0/8-4

Slope=10/4

Slope=5/2

Therefore If she graphs the number of bookmarks sold compared to the total money earned. The rate of change for the function graphed to the left is: 5/2.

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