Download hapter 4.1 Identifying Linear Functions

Chapter 4.1 Identifying Linear Functions.notebook
October 20, 2016
Bellwork:
Solve:
Chapter 4.1 Identifying Linear Functions
1)
2)
3)
Identify linear functions and linear equations. Graph linear functions that represent real­
world situations and give their domain and range.
Make a table and graph:
4) f(x) = ­2/3x + 4
Oct 10­3:50 PM
Oct 10­3:53 PM
We can identify linear functions by its graphs.
Linear Function: a function whose graph forms a straight line.
Identify whether each graph represents a function. Explain. If the graph does represent a function, is the function linear?
1)
Graph A
Graph B
Graph C
Graph A
Graph B
Graph C
2)
Oct 10­3:55 PM
Oct 10­3:57 PM
Tell whether each set of ordered pairs satisfies a linear function. Explain.
We can also identify a linear function by looking at a list of ordered pairs or a table.
{(0, ­3), (4, 0), (8, 3), (12, 6), (16, 9)}
x
0
4
8
12
16
y
­3
0
3
6
9
3) {(0, 3), (­2, 4), (­1, 1), (­3, 9)}
{(­4, 13), (­2, 1), (0, ­3), (2, 1), (4, 13)}
x
­4
­2
0
2
4
y
13
1
­3
1
13
4) {(­2, 5), (0, 1), (2, ­3), (4, ­7)}
In a linear function, a constant change in x corresponds to a constant change in y.
Oct 10­4:01 PM
Oct 16­3:50 PM
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Chapter 4.1 Identifying Linear Functions.notebook
October 20, 2016
Tell whether each equation is linear. If so, write in standard form and graph the function.
5) 3x = y + 6
The last way to identify a linear function is by its equation.
A linear equation can always be written in standard form:
Standard Form:
6) y = 2x2 ­ 6
Ax + By = C, where A, B, and C are real numbers and A and B are not both 0.
Important note:
– 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
Oct 16­3:58 PM
7) ­¾x = y ­ 3
Oct 16­4:04 PM
Tell whether each equation is linear. If so, write in standard form and graph the function.
7) y = 3x
11) The distance in centimeters that a Mars rover can travel at top speed is given by the function f(x) = 5x, where x is the time in seconds. Graph this function and give its domain and range.
8)
9) y = ­5 Oct 16­4:07 PM
Oct 16­4:10 PM
Homework
P. 234­236 #1­41, 55 (odds)
Oct 16­4:13 PM
Oct 6­3:54 PM
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