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5.7 Interpreting Linear Functions.notebook
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May 21, 2014
5.6 Linear Functions (Review)
A relation that is a straight line Has a constant rate of change Formula:
dependent variable = rate of change * independent variable + initial amount
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5.7 Interpreting Graphs of Linear Functions
Some definitions:
Horizontal Intercept: the point where the function intersects the horizontal axis.
Vertical Intercept: The point where the function intersects the vertical axis
Linear function : any graph of a line that is not vertical represents a special function.
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The Rate of Change is the ratio of how the fast the changes occur:
change in dependent variablerate of change = change in independent variable
The rate of change effects two things: how steep the line is
what direction it follows
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Example 1.
Domain?
Range?
XInt?
YInt?
RoC?
Tem
pera
ture
(°C)
Time (h)
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Example 2.
Domain?
Range?
XInt?
YInt?
RoC?
Tem
pera
ture
(°C)
Time (h)
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Example 3. Which graph has a vertical interceptof 4 and a rate of change of 2
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Example 4:This graph shows the total cost for a house call by an electrician for up to 6 hours of work. The electrician charges you $190 to complete a job. For how many hours did she work?
120
240
360
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y = 3x 4
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C = 2n + 1
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Graph: f(x) = 3x 4
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