SWBAT: Find Rates of Change from Linear and non-linear functions
Lesson 6-3
Finding Rates of Change Given a Function
5)
Given:
f (​ x​)​ ​ x​ 2​ ​ 1​
a) What is the dependent variable?________________________
b) What is the independent variable?____________________________
c) Find the average rate of change of f between the following points.
When x = 0 and x = 1
When x = 3 and x = 7
Quick C heck for Understanding
6)
Given:
f (​ x​)​ ​ x​ 2​ ​ 2​
d) What is the dependent variable?________________________
e) What is the independent variable?____________________________
f) Find the average rate of change of f between the following points.
When x = 0 and x = 1
When x = 3 and x = 5
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SWBAT: Find Rates of Change from Linear and non-linear functions
Lesson 6-3
LESSON PRACTICE!!
1) Find the rate of change for each linear function.
a)
b)
c) The graph represents the distance
traveled while driving on a highway. Use
the graph to find the average rate of
change in miles per hour.
d) Find the average rate of change.
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SWBAT: Find Rates of Change from Linear and non-linear functions
Lesson 6-3
LESSON PRACTICE!!
2) Find the rate of change for each linear function.
a)
b)
3) Finding Average Rate of Change from a table/set of ordered pairs.
1) Decide whether the table/set or ordered pairs represents a linear function.
[To recognize if a function is linear without an equation or graph. Look at the differences of
the y-values between successive integral x-values.]
2) C alculate the average rate of change.
a)
b)
c)
d) Which of the sets of ordered pairs satifies a
linear function? Explain.
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SWBAT: Find Rates of Change from Linear and non-linear functions
Lesson 6-3
LESSON PRACTICE!!
4) Quick check for understanding: Determine if the table/set of ordered pairs represents a
linear function. C alculate the average rate of change.
a)
b)
Practice:
5) The table shows the number of miles a plane traveled while in flight.
a) Use the information to find the constant rate of change in miles per minute.
b) C hallenge: Write an equation to represent the data in the table.
6) Find the constant rate of change for each table/graph.
a)
b)
c)
c)
d)
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SWBAT: Find Rates of Change from Linear and non-linear functions
Lesson 6-3
Summary:
Linear Functions
Rate of change
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