Question

Let ​ f(x)=x2−3x−4​ .

What is the average rate of change from x = 7 to x = 10?



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Answer 1

to find rate of change, you find the change in the output values compared to the change in the input values and write it as a fraction

$\frac{change \: in \: y}{change \: in \: x}$

f(7) is
${7}^{2} - 3(7) - 4$
$49 - 21 - 4$
when x is 7, y=24

f(10) is
${10}^{2} - 3(10) - 4$
$100 - 30 - 4$
when x is 10, y=66

the difference in the y values is 42 when the x values change by 3

$\frac{66 - 24}{10 - 7} = \frac{42}{3} = 14$
the average rate of change is 14

Answer 2

Answer:

14

Step-by-step explanation:

Confirmed correct with a K12 test.