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October 18, 2011 By the end of today: I will be able to graph linear functions. Copyright 2006 BrainyBetty.com ALL RIGHTS RESERVED.

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Presentation on theme: "October 18, 2011 By the end of today: I will be able to graph linear functions. Copyright 2006 BrainyBetty.com ALL RIGHTS RESERVED."— Presentation transcript:

1 October 18, 2011 By the end of today: I will be able to graph linear functions. Copyright 2006 BrainyBetty.com ALL RIGHTS RESERVED.

2 Graph the Function Copyright 2006 BrainyBetty.com ALL RIGHTS RESERVED. 1. y = 3x + 2 x *Remember, plot your points exactly and connect the dots. EXTEND the line so that it goes to the end of each side of the graph. Don’t forget the arrows!

3 Graph the Function Copyright 2006 BrainyBetty.com ALL RIGHTS RESERVED. 2. f(x) = 3x – 1 x How is this graph different from #1?

4 A special name! There is a special name for where the line crosses the axes. Where the line crosses the y-axis is called the “y-intercept”. Where the line crosses the x-axis is called the “x-intercept”. Copyright 2006 BrainyBetty.com ALL RIGHTS RESERVED.

5 Graph the Function Copyright 2006 BrainyBetty.com ALL RIGHTS RESERVED. 3. y = -x + 2 x What is the y-intercept? What do you notice about this number? What is the x-intercept? What do you notice about this number?

6 Graph the Function Copyright 2006 BrainyBetty.com ALL RIGHTS RESERVED. 4. y + 6x = 0 x What is the y-intercept? What do you notice about this number? What is the x-intercept? What do you notice about this number?

7 Graph the Function Copyright 2006 BrainyBetty.com ALL RIGHTS RESERVED. 5. f(x) = 3 x What is the y-intercept? What is the x-intercept?

8 Graph the Function Copyright 2006 BrainyBetty.com ALL RIGHTS RESERVED. 6. y – 6 = x x Press the Y= button on your calculator. Type in the equation. Press 2 nd GRAPH. What do you notice?

9 A special name! X-intercepts are also called “zeros”. Why do you think this is? Hint: Look at the table. Another hint: plug that x-value into the equation and see what y is. Hint number three: write the x- intercept in function notation. Copyright 2006 BrainyBetty.com ALL RIGHTS RESERVED.

10 Graph the Function (if time show zero in calc) Copyright 2006 BrainyBetty.com ALL RIGHTS RESERVED. 7. f(x) = -0.312x + 2.16 x Press the Y= button. Type in the equation. Press 2 nd GRAPH. Not all graphs are pretty. It happens. Press 2 nd TRACE. Pick “Zero”. Left Bound, Right Bound, Guess.

11 Copyright 2006 BrainyBetty.com ALL RIGHTS RESERVED. Homework Complete the worksheet.

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