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 transcript:

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

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!

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

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.

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?

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?

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?

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?

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.

Graph the Function (if time show zero in calc) Copyright 2006 BrainyBetty.com ALL RIGHTS RESERVED. 7. f(x) = x 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.

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