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2-6 Special Functions
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Warmup: Which scatter plot represents the data shown in the table?
C D.
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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:
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Write the piece-wise defined function for this graph.
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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 š š„ = š„ . The š„ means the great integer less than or equal to x. For example, =3 and ā4.6 =ā5 (you can think of this graphically as rounding to the left integer. Find in MATH / NUM / int( Or in catalog in āiā things š š„ = š„
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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.
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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 š š„ =2 š„ā4 +6. Identify the domain and range. I am changing the assignment. It will be 2-6 p72/ odd, 24-29, 32, odd.
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