Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 1SE: Can the average rate of change of a function be constant?
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Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
![12. Consider the function f(x) = 2x² +4x – 6.
Part B: Is the function increasing or decreasing over the interval [-3, -1)? Explain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F726707f7-f2ba-4637-8419-21a06d955d0c%2F5a99fc1d-813b-4431-b091-9d7ef67f7428%2Fcp1ygqs_processed.png&w=3840&q=75)
Transcribed Image Text:12. Consider the function f(x) = 2x² +4x – 6.
Part B: Is the function increasing or decreasing over the interval [-3, -1)? Explain.
![Part C: How does the average rate of change of the function change across the
interval 0Sx S 20?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F726707f7-f2ba-4637-8419-21a06d955d0c%2F5a99fc1d-813b-4431-b091-9d7ef67f7428%2Fttpaa6i_processed.png&w=3840&q=75)
Transcribed Image Text:Part C: How does the average rate of change of the function change across the
interval 0Sx S 20?
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