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The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 1 and x = 3.

The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of-example-1
User KingCrunch
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1) calculate f(3), that means substituting the x in the formula, by the number 3.
f(3) = 2^x + 1
f(3)= 2^3 + 1
f(3) =9 You don't even need to calculate it. Just by looking at the graph you see that when x=3 the "blue line" will match with y=9

2)
calculate f(1), that means substituting the x in the formula, by the number 1.
f(1) = 2^x + 1
f(1)
= 2^1 + 1
f(1) =3 Just by looking at the graph you see that when x=1 the "blue line" will match with y=3.
3) To calculate the average rate of change, you need to follow a formula. (b is 3 and a is 1)


(f(b)-f(a))/(b-a)


(f(3)-f(1))/(3-1)

User Walt Corey
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