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spin [16.1K]
3 years ago
9

Given the function, f(x) = 2x2 - x + 1, calculate the average rate of change of the function from x = 1 to x = 3.

Mathematics
2 answers:
Aliun [14]3 years ago
8 0
The answer to you question I think is 7
nikdorinn [45]3 years ago
6 0

Answer:

Option 1.

Step-by-step explanation:

The given function is

f(x)=2x^2-x+1

We need to find the average rate of change of the function from x = 1 to x = 3.

At x=1,

f(1)=2(1)^2-(1)+1=2

At x=3,

f(3)=2(3)^2-(3)+1=16

The average change of a function f(x)on the interval [a,b] is

m=\dfrac{f(b)-f(a)}{b-a}

The average rate of change of the function from x = 1 to x = 3 is

m=\dfrac{f(3)-f(1)}{3-1}

m=\dfrac{16-2}{2}

m=\dfrac{14}{2}

m=7

The average rate of change of the function from x = 1 to x = 3. Therefore the correct option is 1.

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