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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.5: Linear Functions And Models
Problem 48E
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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.
Click to select vour
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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