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Instructions and examples for identifying linear functions based on their graphs and equations. It also covers finding intercepts and rates of change, as well as graphing lines. exercises for practice.
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The graph represents a function because each domain value ( x value) is paired with exactly one range value ( y value). Notice that the graph is a straight line. A function whose graph forms a straight line is called a _________________________. Identify whether the graph represents a function. Explain. If the graph does represent a function, is the function linear?
You can sometimes identify a linear function by looking at a table or a list of ordered pairs. In a linear function, a constant change in x corresponds to a constant change in y. Tell whether the set of ordered pairs satisfies a linear function. Explain.
**1. {(0, –3), (4, 0), (8, 3), (12, 6), (16, 9)}
Domain: ___________________________ Range:____________________________ An approximate relationship between human years and dog years is given by the function y = 7 x , where x is the number of human years. Graph this function and give its domain and range. At a salon, Sue can rent a station for $10.00 per day plus $3.00 per manicure. The amount she would pay each day is given by f ( x ) = 3 x + 10, where x is the number of manicures. Graph this function and give its domain and range.
4.2A: Using Intercepts Objectives: 1. Find x and y intercepts and interpret their meanings in real world situations.
4.2B: Using Intercepts Objectives: 1. Find x and y intercepts and interpret their meanings in real world situations.
Use intercepts to graph the line described by the equation.
Tell whether the slope of each line is positive, negative, zero or undefined.
4.4 The Slope Formula Objectives: 1. Find slope by using the slope formula. Find the slope of the line that contains (2, 5) & (8, 1). Find the slope of the line that contains (–2, –2) & (7, –2). Find the slope of the line that contains (5, –7) & (6, –4). Find the slope of the line that contains and
4.5 Direct Variation Objectives: 1. Identify, write, and graph a direct variation. A _______________ is a special type of linear relationship that can be written in the form y = kx , where k is a nonzero constant called the ________________. Tell whether the equation represents a direct variation. If so, identify the constant of variation. y = 3 x 3 x + y = 8 –4 x + 3 y = 0 3 y = 4 x + 1 3 x = –4 y y + 3 x = 0
