Lesson 1-4 Linear Functions and Models. Objective:

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Presentation transcript:

Lesson 1-4 Linear Functions and Models

Objective:

Objective: To model real-world situations by means of linear functions.

Function:

Function: A dependent relationship between quantities.

Linear Function:

A) What is the slope of the graph of f(x) = -2x + 4? B) What is the zero of the function? C) What are the intercepts of the function’s graph? D) Find.

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Let g be a linear function such that g(1) = 2 and g(5) = 4. A) Sketch the graph of g. B) Find an equation for g(x). C) Find g(-1).

Suppose that it costs 50 cents for the first minute of a long distance telephone call and 20 cents for each additional minute or fraction thereof. Give a graphical model of the cost of a call lasting t minutes.

Lets analyze the information: time ‘t’ cost If 0 < t < 1 ?? 2 ?? If 1 < t < 2 ?? If 2 < t If 2 < t < 3 ?? If 3 < t < 4 ?? This type of problem actually models what is called a ‘step function’. Can you figure out why?

Assignment: Pgs C.E.  1-4 all, W.E.  1-6 all, 7-15 odd, 21