SWBAT: Identify linear functions using graphs, tables, and equations.
Lesson 6-1
Do Now:
1. How can we determine if a relation is a function?
2. How can we determine if a function is linear?
Identifying Linear Functions from a graph, table, and set of ordered pairs
1) Identify whether each graph represents a function.
If the graph represents a function, is it linear?
a)
b) Quick C heck for Understanding
SWBAT: Identify linear functions using graphs, tables, and equations.
Lesson 6-1
Identifying Linear Functions From a Table//Ordered Pairs
1) Does the set of ordered pairs satisfy a linear function? Explain your answer.
a) {(0, -3), (4, 0), (8, 3), (12, 6), (16, 9)}
b) {(3, 5), (5, 4), (7, 3), (9, 2), (11, 1)}
c) {(2, 4), (5, 3), (8, 2), (11, 1)}
d) {(-10, 10), (-5, 4), (0, 2), (5, 0)}
Another way to determine whether a function is linear is to look at its equation. A function is
linear if it is described by a linear equation. A linear equation is any equation that can be written
in the form y mx b (slope-intercept form).
Standard Form of a Linear Equation/Slope-intercept Form of a linear Equation
Ax By C
y mx b
where A, B, and C are real numbers and A and B are not both 0.
Notice that when a linear equation is written in standard from:
x and y both have exponents of 1.
x and y are not multiplied together
x and y do not appear in denominators, exponents, or radical signs.
2) Tell whether each function is linear.
a)
b)
y 2 x 3
3x y 3
c)
y x 2 3
d)
SWBAT: Identify linear functions using graphs, tables, and equations.
Lesson 6-1
e)
f)
y 2 x
2 xy x 3
y 5
x
3) Quick C heck for Understanding. Tell whether each function is linear.
a)
b)
c)
3x 4 y 24
2 xy y 3
y x 3 3
d)
e)
f)
3x 1
y
x
Challenge
y 3x 4
y 3 x
SWBAT: Identify linear functions using graphs, tables, and equations.
Lesson 6-1
Summary
SWBAT: Identify linear functions using graphs, tables, and equations.
Lesson 6-1
LESSON PRACTICE
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