It is possible to find the rate of change for an interval between two points of a function by finding the slope between the points. Use the graph to find the y-value for each x-value. Then find the rate of change for each interval. a. (4D and (5. The rate of change between these two points is b. (5.) and (6.D The rate of change between these two points is c. (6.) and (7.) The rate of change between these two points is d. What is noticeable about the rate of change as the interval gets further away from the vertex? OA The rate of change does not change. O B. The rate of change decreases at a greater rate. OC. The rate of change decreases at a smaller rate. O D. The rate of change increases at a greater rate. OE. The rate of change increases at a smaller rate. e. Would the answer from part (d) change if the intervals were on the left side of the graph? Explain.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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It is possible to find the rate of change for an interval between two points of a function by finding the slope between the points. Use the graph to find the y-value
b. (5. and (6D
The rate of change between these two points is
(6. and (7)
C.
The rate of change between these two points is
d. What is noticeable about the rate of change as the interval gets further away from the vertex?
O A The rate of change does not change.
O B. The rate of change decreases at a greater rate.
OC. The rate of change decreases at a smaller rate.
O D. The rate of change increases at a greater rate.
O E. The rate of change increases at a smaller rate.
e. Would the answer from part (d) change if the intervals were on the left side of the graph? Explain.
OA Yes; the rate of change increases as the value of x moves left from the vertex.
O B. Yes; the rate of change decreases as the value of x moves left from the vertex.
O C. No; the rate of change remains the same as the value of x moves left from the vertex.
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Transcribed Image Text:It is possible to find the rate of change for an interval between two points of a function by finding the slope between the points. Use the graph to find the y-value b. (5. and (6D The rate of change between these two points is (6. and (7) C. The rate of change between these two points is d. What is noticeable about the rate of change as the interval gets further away from the vertex? O A The rate of change does not change. O B. The rate of change decreases at a greater rate. OC. The rate of change decreases at a smaller rate. O D. The rate of change increases at a greater rate. O E. The rate of change increases at a smaller rate. e. Would the answer from part (d) change if the intervals were on the left side of the graph? Explain. OA Yes; the rate of change increases as the value of x moves left from the vertex. O B. Yes; the rate of change decreases as the value of x moves left from the vertex. O C. No; the rate of change remains the same as the value of x moves left from the vertex. Click to select vour
It is possible to find the rate of change for an interval between two points of a function by finding the slope between the points. Use the graph to find the y-value for each x-value. Then find the rate of change for each interval.
a. (4.
and (5,
The rate of change between these two points is
b. (5.D and (6.D
The rate of change between these two points is
c. (6.D and (7)
The rate of change between these two points is-
d. What is noticeable about the rate of change as the interval gets further away from the vertex?
O A. The rate of change does not change.
O B. The rate of change decreases at a greater rate.
OC. The rate of change decreases at a smaller rate.
O D. The rate of change increases at a greater rate.
O E. The rate of change increases at a smaller rate.
e. Would the answer from part (d) change if the intervals were on the left side of the graph? Explain.
Transcribed Image Text:It is possible to find the rate of change for an interval between two points of a function by finding the slope between the points. Use the graph to find the y-value for each x-value. Then find the rate of change for each interval. a. (4. and (5, The rate of change between these two points is b. (5.D and (6.D The rate of change between these two points is c. (6.D and (7) The rate of change between these two points is- d. What is noticeable about the rate of change as the interval gets further away from the vertex? O A. The rate of change does not change. O B. The rate of change decreases at a greater rate. OC. The rate of change decreases at a smaller rate. O D. The rate of change increases at a greater rate. O E. The rate of change increases at a smaller rate. e. Would the answer from part (d) change if the intervals were on the left side of the graph? Explain.
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