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Graph each function. Give the domain and range. S…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45

Problem 13 Medium Difficulty

Graph each function. Give the domain and range. See Examples $1-3$.
$$
f(x)=\frac{1}{x}+1
$$

Answer

domain: $(-\infty, 0) \cup(0, \infty)$
range: $(-\infty, 1) \cup(1, \infty)$

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Beginning and Intermediate Algebra

Chapter 13

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Section 1

Additional Graphs of Functions

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Video Transcript

you wanna grab a cup of X equals one over X plus one e. Think about a table of values. We know that if x zero we can't do it, that's problem at Aspen Toe because we can't divide by zero so X equals eurozone asking toe If X is one. That it's 1/1 plus one or one plus one is 2012 If X two is 1/2 plus one, which is 1.5. 1/3 plus one is one of the 3rd 1 in the 4th 1 in a fit if X is 1/2 of the two plus one or three. And so we have this behavior here if we go to the negatives. One over negative one negative one plus 10 So negative 10 negative 1/2 plus one is 1/2 negative. 1/3 plus one is 2/3 negative. 1/4 is 14 plus one is 3/4 4/5 negative. 1/2 would be negative two plus one or negative one. And what happens is Y equals one is a horizontal. Asked the domain all of our Xers air fine, except for zero something safety negative fitting to zero and from zero not included to infinity and arrange. All values are wire fine, except for one. So I would say from negative infinity to one not included. You need one not included to infinity or all rials except for one.

We have video lessons for 68.06% of the questions in this textbook

Margaret L. Lial , John Hornsby

Beginning and Intermediate Algebra

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