Question

A function labeled f left-parenthesis x right-parenthesis is graphed on the coordinate plane. The graph is decreasing from x equals negative infinity to approximately x equals negative 2.3, then increases until approximately x equals negative 0.5. The graph decreases to point P left-parenthesis 1 comma 0 right parenthesis and then increases, passing through point Q left parenthesis 2 comma 3 right parenthesis.
Question
Use the graph to answer the question.
What is the average rate of change of f left parenthesis x right parenthesis between P and Q?
(1 point)
Responses

one third
Image with alt text: one third

1
1

start fraction 3 over 2 end fraction
Image with alt text: start fraction 3 over 2 end fraction

3

Answer 1

The average rate of change of f(x) between points P and Q can be calculated by determining the change in the y-coordinate divided by the change in the x-coordinate between these two points.

Point P: (1, 0)
Point Q: (2, 3)

Change in y-coordinate: 3 - 0 = 3
Change in x-coordinate: 2 - 1 = 1

Average rate of change = Change in y / Change in x = 3 / 1 = 3

Therefore, the average rate of change of f(x) between P and Q is 3.