Question

Question Use the graph of a the function to determine the initial value and the rate of change.

b=

m=

1,5 0,2 -1,-1 -2,-4

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine the initial value and rate of change for the function represented by the graph, we need to look at the y-intercept (initial value) and the slope (rate of change).

In this case, the y-intercept is the point where the graph intersects the y-axis. From the given points:
- The point (0,2) is on the y-axis, so the initial value is 2.

Next, we need to calculate the slope (rate of change) of the graph. The slope is the change in y divided by the change in x, or (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the graph. Let's take two points for calculation:
- (1,5) and (0,2)
Slope = (5-2) / (1-0) = 3 / 1 = 3

Therefore, the initial value is b = 2 and the rate of change is m = 3.