Find the average rate of change of the function from to .
The average rate of change is . (Simplify your answer.)

Ask by Riley Conner. in the United States

Jan 22,2025

Question

Find the average rate of change of the function $$ f(x)=9 x $$ from $$ x_{1}=0 $$ to $$ x_{2}=7 $$. The average rate of change is $$ \square $$. (Simplify your answer.)

UpStudy AI · Accepted Answer

To find the average rate of change of the function $$ f(x) = 9x $$ from $$ x_1 = 0 $$ to $$ x_2 = 7 $$, we use the formula:

$$
\text{Average Rate of Change} = \frac{f(x_2) - f(x_1)}{x_2 - x_1}
$$

1. **Calculate $$ f(x_1) $$ and $$ f(x_2) $$:**
   $$
   f(0) = 9 \times 0 = 0
   $$
   $$
   f(7) = 9 \times 7 = 63
   $$

2. **Apply the values to the formula:**
   $$
   \text{Average Rate of Change} = \frac{63 - 0}{7 - 0} = \frac{63}{7} = 9
   $$

**Answer:**  
The average rate of change is $$ 9 $$.
The average rate of change is 9.

Find the average rate of change of the function from to .
The average rate of change is . (Simplify your answer.)

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Find the average rate of change of the function from to . The average rate of change is . (Simplify your answer.)