the graph -3,4 0,3 3,2 6,1
Determine the initial value and the rate of change of the linear function as given in the graph. Round the answer to three decimal places as needed.
(1 point)
The initial value can be determined by looking at the y-intercept of the graph. In this case, the y-intercept is the point (0,3). Therefore, the initial value of the linear function is 3.
The rate of change can be determined by looking at the slope of the graph. The slope is calculated by taking the change in y-coordinates divided by the change in x-coordinates between two points on the graph. Let's take the first two points (-3,4) and (0,3) to calculate the slope:
slope = (change in y-coordinates) / (change in x-coordinates)
= (3 - 4) / (0 - (-3))
= -1 / 3
Therefore, the rate of change of the linear function is -1/3.