Domain, Range, Graphs, etc…

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Presentation transcript:

Domain, Range, Graphs, etc… 2.2 Functions Domain, Range, Graphs, etc…

Determine whether the following is a function Determine whether the following is a function. If so, give the domain and range:

Determine whether the following is a function Determine whether the following is a function. If so, give the domain and range: Function? __________ Domain = ______________ Range = _______________

In this slide, show students that you can “flatten” or “squash” the graph onto the x-axis and y-axis to find the domain and range, respectively.

Function? __________ Domain: ______________ Range: _______________

D = _____________ R = _____________ Equation : _______________________ Students NEED to memorize this graph. Function? ________ D = _____________ R = _____________ Equation : _______________________

D = _____________ R = _____________ Equation : _______________________ Students NEED to memorize this graph. Function? ________ D = _____________ R = _____________ Equation : _______________________

D = _____________ R = _____________ Equation : _______________________ Students NEED to memorize this graph. Function? ________ D = _____________ R = _____________ Equation : _______________________

D = _____________ R = _____________ Equation : _______________________ Students NEED to memorize this graph. Function? ________ D = _____________ R = _____________ Equation : _______________________

D = _____________ R = _____________ Equation : _______________________ Students NEED to memorize this graph. Function? ________ D = _____________ R = _____________ Equation : _______________________

Function? ________ D = _____________ R = _____________ Equation : _______________________

Function: ____________ f(x) = ____________________, x < 0 Here is the introduction to the graph of a piecewise function.

Use this as an example of how to graph a piecewise function.

Does the equation define y as a function of x?

A balloon is inflated (with air) over time A balloon is inflated (with air) over time. The volume continues to increase until it finally bursts: Optional slide. Use it to show how to graphically represent volume as a function of time.

Optional slide. Shows how to represent a function using a table.