Mathematics: Find the average rate of change of the function from = 1 to = 5. Function = - 4x + 10

If the number behind the decimal point is 5 or more , it is rounded up to the next whole number .example 21.7 22...

Find the average rate of change of the function

akaumbulu

14.02.2022

Hi there!

$\large\boxed{\text{Average rate} = 2}$

Use the following equation to solve:

$\text{Average rate} = \frac{f(x_{2}) - f(x_{1})}{x_{2} - x_{1}}$

Solve for the y-values of the equation at the given x values:

f(1) = 1² - 4(1) + 10 = 7

f(5) = 5² - 4(5) + 10 = 15

Plug the solved values into the equation:

$\text{Average rate} = \frac{15 - 7}{5-1}$

Simplify:

$\text{Average rate} = \frac{8}{4} = 2$

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