Graphing Reciprocal Functions ©t N2c0g1s7r kKBu[tDas uSOolfhtfwUaqrye\ lLsLaCo.O d bANlJls hriiJgLhJtWsY ]rMefs_ear`vQeEdC.-1-1) What you need to know: 1. The reciprocals of big numbers are tiny 2. The reciprocals of tiny numbers are big 3. The reciprocal of 1 is 1 4. The reciprocal of 0 is undefined

Given each function, give the equation of its reciprocal function, the equation of the vertical asymptotes, the domain and range, and also the coordinates of the invariant points. Show your work with space provided

Consider the graph of f ( x ) = x − 3 shown below. What would be the equation of the reciprocal of this function? _____________ or _____________. Try to draw the graph of the reciprocal of f ( x ) = x − 3 . For each of the following graphs of y = f ( x ) , sketch the corresponding graph of y = .

Reciprocal Functions Notes, examples, and practice (and solutions) Topics include asymptotes, parent functions, transformations, graphing, intercepts, domain/range, applications, and more… Mathplane.com

Reciprocal Functions worksheet . 1. For each graph below showing 𝑦𝑦= 𝑓𝑓(𝑥𝑥), sketch a graph of the reciprocal 𝑦𝑦= 1 𝑓𝑓𝑥𝑥) ((a) (b) (c) (d) (e) (f)

Describe mathematically the two transformations that map the graph of onto the graph of g ( x ) . Sketch the graph of g ( x ) . The sketch must include ... ... the equations of any asymptotes of g ( x ) . meet the coordinate axes. giving the answers in …

MHF4U 3.1 Worksheet (reciprocal of a linear function) 1. Graph the following reciprocal functions, marking all points as accurately as possible. a) € f(x)= 1 x−3 b) € g(x)= 1 x −2 c) € h(x)=− 1 x +4 d) € i(x)= 1 2−x 2. Sketch the linear function € y=2x−6 and its reciprocal function.

Worksheet by Kuta Software LLC Pre-Calculus 11 Lesson 7.4 Worksheet: Reciprocal Graphs ©i v2V0b1m9f lKHuEtgau ]SJocfTtawwa^rkeD aL\LhCZ.j G sANl_lz crfixgxhwtfsK BrBeRskegrUvJe`dI.-1-Graph each equation. List the domain, range, equation(s) of any asymptote(s), and the invariant point(s). 1) y x x y

• The graph of a reciprocal function of the form has one of the shapes shown here. • To sketch the graph of a function, find the points where the graph intersects the axes. • To find where the curve intersects the y-axis substitute x = 0 into the function. • To find where the curve intersects the x-axis substitute y = 0 into the function.

Feb 10, 2020 · A worksheet on plotting reciprocal graphs, with several questions about each graph. Answers provided too. Could be differentiated by choosing to do some questions and leaving others.

(A) Determine the reciprocal of the function. (B) State the non-permissable values of and the equations of the vertical asymptotes of the reciprocal functions. (C) What are the -intercepts and -intercepts of the reciprocal function? (D) Determine the invariant points of …

Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance

Displaying all worksheets related to - Reciprocal Functions. Worksheets are Pre calculus 11 hw section reciprocal functions, A state the zeros b write the reciprocal function, The reciprocal function family work, Quotient and reciprocal identities 1, Sketching reciprocal graphs, Inverse of functions work, Name gcse 1 9 cubic and reciprocal ...

Mar 7, 2025 · Cotangent is the reciprocal of tangent: \cot \theta = \frac{1}{\tan \theta} = \frac{\cos \theta}{\sin \theta} These functions have their own specific features that are important in graphs and equations. Secant Function (sec θ) The secant function, \sec \theta , is defined as the reciprocal of the cosine function. Let’s explore some key ...

Worksheet 3-1: Reciprocal of a Linear Function Key Concepts of a Reciprocal Linear Function . Practice 1: Graph of a Reciprocal Linear Function Graph . x y 1 = and 5 1 + = x y. Compare their domains, ranges and asymptotes.

Showing 8 worksheets for Graphing Reciprocal Functions. Worksheets are Pre calculus 11 hw section reciprocal functions, Mathematics, Chapter 45 part 1...

Showing 8 worksheets for Graphing A Reciprocal Function. Worksheets are 93 graphing reciprocal functions, Graphing simple rational functions, Pre calc...

We will investigate graphing reciprocal functions by looking at the table of values and the graphs of the function : ;= and its reciprocal, ;= 1 𝑥

The goal is to explore and understand the relationships between reciprocal functions and their graphs. The document discusses graphing reciprocal and other functions. It contains examples of graphing pairs of reciprocal functions f(x) and g(x) where g(x) is the reciprocal of f(x).

Sketch the linear function y = 2 x − 6 and its reciprocal function. Graph the following reciprocal functions. State the transformations applied to f (x) = in each case. Write equations for the reciprocal functions shown in the following graphs. Was this document helpful?

This document provides instructions for graphing the reciprocal function g(x) given the graph of another function f(x). It explains that the vertical asymptotes of g(x) are the x-intercepts of f(x) and that large values of f(x) become small for g(x) and vice versa.