5.7 Interpreting Linear Functions

5.7 Interpreting Linear Functions.notebook

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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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5.7 Interpreting Linear Functions.notebook

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y = ­3x ­ 4

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C = 2n + 1

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5.7 Interpreting Linear Functions.notebook

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Graph: f(x) = ­3x ­ 4

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