Inverse function domain and range
[DOC File]Trigonometry Lecture Notes, Section 6.1
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The domain of y = cos-1x is [-1, 1] and the range is . It helps to think of the range of y = cos-1x as being along the top half of the unit circle, which is traced out as angles range from 0 to . If you restrict the domain of y = tan x to the interval as shown below, the restricted function is one-to-one. The . inverse tangent function
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NOTES Sept. 19th- 20th, 2012 Inverse Functions I. Graph the original function (restrict the domain if necessary). Then graph the inverse on the same graph in a different color.
[DOCX File]Financial Applications of Inverse Functions (High School ...
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Graph of the Inverse Sine Function. OR Domain: Range: Table of Values: x. Notes on the graph of the inverse sine function: The inverse sine function is increasing and continuous on its domain. Both the x- and y- intercepts are 0. The inverse sine function is an odd function. Inverse Cosine Function. ormeans that , for .
[DOC File]Inverse Functions
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Definition of a Function. Domain and range of a function. Which functions have inverses that are also functions. Discussion: Review the definition of a function and the terms domain and range. Note that inverses undo what the function does and that every function has an inverse, but that the inverse may or may not be a function in its own right.
[DOC File]What Is A Function
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The Inverse Function. If f(x) is a one-to-one function, its inverse is a function. f(x) and f-1(x) are symmetrical about the line y = x. The domain of f is the range of f-1 and the range of f is the domain of f-1. and . The inverse of g(x) is a function because g(x) is a _____ function. x. f. f(x) f-1. x. f(x) So, in order to have an inverse ...
[DOC File]Inverse Functions Worksheet
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Complete the chart below indicating the domain and range of the given functions. Function Domain Range The inverse functions do not have ranges that include all 4 quadrants. Add a column to your chart that indicates the quadrants included in the range of the function.
[DOC File]Math II Unit 6
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In particular, students will make generalizations about key features such as domain and range, and relate their prior understanding of the definition of a function to an emerging perspective on the meaning of an inverse function. As you plan, consider the variability of learners in your class and make adaptations as necessary.
[DOC File]Pre-Calculus Assignment Sheet
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Directions: Graph the relation and connect the points. Then graph the inverse. Identify the domain and range of each, and identify if either (or both) are functions or just relations. Domain: Domain: Range: Range: Function?: Function?: Graph the line that passes through the points and . Next, graph the line through the inverse points.
[DOC File]TOPIC: INVERSE FUNCTIONS
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Graph the inverse of the given function. 12. Function. Points ( - 2 , - 4 ) ( 0 , 1 ) ( 2 , 6 ) Inverse. Points ( - 4 , - 2 ) ( 1 , 0 ) ( 6 , 2 ) 13. *** It is difficult to “mirror” the graph in word, but you can see the where the inverse graph would cross the x = y line and see its shape …
Identify the Domains and Ranges of Inverse Trigonometry Function…
Inverse Function Domain Range Basic Properties all The range is based on limiting the domain of the original function so that it is a one-to-one function. Example 1: What is the exact value of ? Solution: This is equivalent to . Thus . You can easily confirm this result by using your scientific calculator. Example 2:
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