Question

question 6 use the graph of f(x) to evaluate the following: the average rate of change of f from x = 0 to x = 4 is give your answer as an integer or reduced fraction. question help: video submit question

Explanation:

Answer:

To find the average rate of change of \( f(x) \) from \( x = 0 \) to \( x = 4 \), we use the formula for average rate of change:

\[
\text{Average rate of change} = \frac{f(4) - f(0)}{4 - 0}
\]

From the graph:

• At \( x = 0 \), \( f(0) = 1 \) (the y - intercept).
• At \( x = 4 \), we look at the graph and see that \( f(4)=2 \) (by reading the y - value corresponding to \( x = 4 \)).

Substitute these values into the formula:

\[
\text{Average rate of change}=\frac{2 - 1}{4-0}=\frac{1}{4}
\]

So the average rate of change of \( f \) from \( x = 0 \) to \( x = 4 \) is \(\frac{1}{4}\).