'Reciprocal function' presentation slideshows

Appendix A

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Mathematics Reciprocal Functions

a place of mind. FACULTY OF EDUCATION. Department of Curriculum and Pedagogy. Mathematics Reciprocal Functions. Science and Mathematics Education Research Group. Supported by UBC Teaching and Learning Enhancement Fund 2012-2014. Reciprocal Functions. Reciprocal Functions.

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12 Basic Functions

12 Basic Functions. Hannah Kiiskila and Mitch Pronga. Introduction Video. http://www.youtube.com/watch?v=M87p94A1dL8. Intro. The 12 Basic Functions. Find the Domain. https://www.youtube.com/watch?v=2tC36VPxCmw. Finding the Domain of a Function Ex.

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Introduction

Introduction In previous lessons, you defined and calculated using the three basic trigonometric functions, sine, cosine, and tangent. In this lesson, you will extend your working definitions of their reciprocal functions and use them to determine the unknown sides and angles of triangles.

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Library of Functions, Piecewise-Defined Functions

Library of Functions, Piecewise-Defined Functions. A linear function is a function of the form. f ( x ) =mx+b. The graph of a linear function is a line with a slope m and y- intercept b. Domain: All reals Range: All reals. ( 0,b ). A constant function is a function of the form.

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Graph Families

Graph Families. A Clicker Game. 1. Which graph represents a reciprocal function? A. B. C. D. 2. Which graph represents an exponential function? A. B. C. D. 3. Which graph represents a logarithmic function? A. B. C. D. 4. Which type of graph is represented below?

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Math 20-1 Chapter 7 Absolute Value and Reciprocal Functions

Math 20-1 Chapter 7 Absolute Value and Reciprocal Functions. Teacher Notes. 7.4 Reciprocal Functions.

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Library of Functions

Library of Functions. You should be familiar with the shapes of these basic functions. We'll learn them in this section. Odd and Even Functions. A function f is even if. f( ? x) = f(x) for all x in its domain. Vertical line of reflection at x = 0. A function f is odd if.

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3.3 Library of Functions, Piecewise-Defined Functions

3.3 Library of Functions, Piecewise-Defined Functions. A linear function is a function of the form. f(x)=mx+b. The graph of a linear function is a line with a slope m and y- intercept b. (0,b). A constant function is a function of the form. f(x)=b. y. b. x.

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8.3

8.3. Graphing Reciprocal Functions. Reciprocal Function : has an equation of the form where a ( x ) is a linear function and a ( x ) ? 0. \\ Domain is limited to values for which the function is defined.

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OCF.02.6 - Reciprocals of Quadratic Functions

OCF.02.6 - Reciprocals of Quadratic Functions. MCR3U - Santowski. (A) Review of the Reciprocal Function. We have seen what the reciprocal function f(x) = 1/x looks like: Its domain is {x E R| x ? 0} Its range likewise is {y E R| y ?0}

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3.8 Derivatives of Inverse Trig Functions

Photo by Vickie Kelly, 1993. Greg Kelly, Hanford High School, Richland, Washington. 3.8 Derivatives of Inverse Trig Functions. Lewis and Clark Caverns, Montana. At x = 2 :. We can find the inverse function as follows:. To find the derivative of the inverse function:. Switch x and y .

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4.6 Graphs of Other Trigonometric Functions csc, sec, tan, & cot

4.6 Graphs of Other Trigonometric Functions csc, sec, tan, & cot. Graphing csc and sec is done by graphing its reciprocal function first. v.s. = A = P = h.s. =. 3. 2. Graph y = 3 + 2 csc. + sin x. 5. 3. 1. x-axis. Draw vert. asy. Find the midpoint to locate y-axis.

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Section 3.4

Section 3.4. Library of Functions; Piecewise-Defined Functions. THE SQUARE ROOT FUNCTION. The x -intercept is 0. The y -intercept is also 0. The function is neither even nor odd. It is increasing on the interval (0, ?). It has a local minimum of 0 at x = 0. Properties of.

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Slopes of Inverse Functions

Slopes of Inverse Functions. Section 3.8. We can find the inverse function as follows:. The derivative of the inverse function:. Switch x and y . Slopes are reciprocals. Slopes are reciprocals. The derivative of. Derivative Formula for Inverses:. evaluated at. the derivative of.

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Lesson 2.3 Arithmetic Combinations of Functions

Lesson 2.3 Arithmetic Combinations of Functions. p. 90. In this section we will show how combinations of familiar functions together with some function operations can be used to construct more complex functions. Arithmetic Combinations of Functions.

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Flashback 10-16-12

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Drawing the graph of the reciprocal function

Drawing the graph of the reciprocal function. =. -. -. 2. y. (. x. 2. ). 1. 5. 1. =. y. -. -. 2. (. x. 2. ). 1. 5. Y. Whenever the original function is 0 the reciprocal will be undefined so we need asymptotes where the graph crosses the x -axis.

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y =

The Reciprocal Function. y =. The curve is divided by the x and y axes. These dividing lines are known as asymptotes. Transformations. Transformation vector . y = +3. Transforming the curve also move the asymptotes X=2 Y=3.

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