The graph provided shows a straight line passing through two points. To identify the rate of change (slope) of the function, we use the formula for the slope between two points $(x_1, y_1)$ and $(x_2, y_2)$:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let's choose two clear points on the line from the graph:

• Point 1: $(-3, -5)$
• Point 2: $(3, 5)$

Now, apply the slope formula:

$m = \frac{5 - (-5)}{3 - (-3)} = \frac{5 + 5}{3 + 3} = \frac{10}{6} = \frac{5}{3}$

Thus, the rate of change (slope) of the function is $\frac{5}{3}$.

Would you like more details or have any other questions?

Here are some related questions for further practice:

1. How do you interpret the slope of a line in real-world scenarios?
2. What does it mean when the slope of a line is positive, negative, zero, or undefined?
3. How can you calculate the slope of a vertical or horizontal line?
4. What is the equation of a line with a slope of $\frac{5}{3}$ and a y-intercept of 2?
5. How would the graph change if the slope were $\frac{2}{3}$?

Tip: Always pick points that are clearly visible and easy to read from the graph to avoid errors in calculating the slope.