2-6 Special Functions.

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Presentation transcript:

2-6 Special Functions

Warmup: Which scatter plot represents the data shown in the table? C. D.

Graph the function. Identify the domain and range Piecewise-Defined Function : A function written using two or more expressions. A dot on the graph indicates it is included. An open circle indicates that the point is not included in the graph. Graph the function. Identify the domain and range D: R:

Write the piece-wise defined function for this graph.

A step function consists of line segments A step function consists of line segments. It is written as a single expression. The most common step function is the greatest integer function. It is written as 𝑓 𝑥 = 𝑥 . The 𝑥 means the great integer less than or equal to x. For example, 3.25 =3 and −4.6 =−5 (you can think of this graphically as rounding to the left integer. Find in MATH / NUM / int( Or in catalog in “i” things 𝑓 𝑥 = 𝑥

The vertex here is (0, 0). Slope when x > 0 is 1. Slope when x < 0 is -1. Symmetrical about the y-axis, so x = 0 is the equation of the line of symmetry.

To graph absolute value on your graphing calculator, find abs( under MATH / NUM / abs( or in the catalog (it is the first choice!) The parentheses have to contain all that is inside the absolute value. 28. Graph 𝑓 𝑥 =2 𝑥−4 +6. Identify the domain and range. I am changing the assignment. It will be 2-6 p72/ 13-23 odd, 24-29, 32, 51-55 odd.