Chapter 11-2 Graphs of functions & relations

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Presentation transcript:

Chapter 11-2 Graphs of functions & relations Math 2 Chapter 11-2 Graphs of functions & relations j k mackinnon

Summary Slide Linear and Constant Functions Linear functions Absolute Value Functions More absolute value functions Quadratic Functions Square-Root Functions Graphing Relations that are not functions The End

Linear and Constant Functions y = mx + b or f (x) = mx + b for m ≠ 0 graph is a straight line [linear!] Domain = and range = Example f (x) = 2x + 2 f (x) = 3x - 1 f (x) = -5x + 7 f (x) = x  the identity function If m = 0, y = b is a constant function Domain , range b f (x) = 2, range = 2 f (x) = c, range = c  the constant function

Linear functions State the domain of each graph [identity function] Domain: Range: State the domain of each graph State the range of each graph Domain: Range:

Absolute Value Functions the absolute value function is the function defined by f (x) = |x| its graph is v-shaped Domain: Range:

More absolute value functions Graph each function and state the domain and range f(x) = |x - 4 | Domain = Range = g(x) = | 3x - 9 |

where a, b, and c are real numbers, with a ≠ 0 Quadratic Functions A quadratic function is a function of the form f (x) = ax2 + bx + c, where a, b, and c are real numbers, with a ≠ 0 Domain = Range =

Square-Root Functions The square-root function is the function defined by f (x) = graphs look like half a parabola.

Graphing Relations that are not functions a relation is any set of ordered pairs these relations are not functions why? what are some ordered pairs?

The End Function vocabulary Ask Dr Math Function tutorial 1 http://www.mathnstuff.com/math/spoken/here/3essay/300.htm Ask Dr Math Function tutorial 1 Function self check Please do the assignments http://elearning.qu.edu.qa click on assignments Learn math online in mathzone http://www.mathzone.com go to chapter 11-2 Do exercises Do e-professor Watch videos if you have time j k mackinnon