0 A Review Of Basic Algebra 1 Equations And Inequalities 2 Functions And Graphs 3 Functions 4 Polynomial And Rational Functions 5 Exponential And Logarithmic Functions 6 Linear Systems 7 Conic Sections And Quadratic Systems 8 Sequences, Series, And Probability Chapter3: Functions
3.1 Graphs Of Functions 3.2 Transformations Of The Graphs Of Functions 3.3 More On Functions; Piecewise-defined Functions 3.4 Operations On Functions 3.5 Inverse Functions 3.CR Chapter Review 3.CT Chapter Test 3.CM Cumulative Review Exercises Section3.5: Inverse Functions
Problem 1SC: Determine whether fx=x is one-to-one. Problem 2SC: Determine whether the graph below represents a one-to-one function. Problem 3SC: If x0, are fx=x2 and gx=x inverse functions? Problem 4SC Problem 5SC: Find f2. Then find f-111. Explain the significance of the result. fx=x3+3 Problem 6SC: Find the inverse of f when its domain is restricted to the interval 0,. fx=x2+3 Problem 7SC Problem 1E Problem 2E Problem 3E Problem 4E Problem 5E: Practice Determine whether each function is one-to-one. fx=5 Problem 6E: Practice Determine whether each function is one-to-one. fx=-5 Problem 7E: Practice Determine whether each function is one-to-one. fx=3x Problem 8E: Practice Determine whether each function is one-to-one. fx=12x Problem 9E: Practice Determine whether each function is one-to-one. fx=x2+3 Problem 10E Problem 11E: Practice Determine whether each function is one-to-one. fx=x3+5 Problem 12E Problem 13E: Practice Determine whether each function is one-to-one. fx=x3-x Problem 14E Problem 15E: Practice Determine whether each function is one-to-one. fx=|x| Problem 16E Problem 17E: Practice Determine whether each function is one-to-one. x Problem 18E Problem 19E: Practice Determine whether each function is one-to-one. fx=x3 Problem 20E Problem 21E: Practice Determine whether each function is one-to-one. fx=x-22;x2 Problem 22E: Practice Determine whether each function is one-to-one. fx=1x Problem 23E: Use Horizontal Line Test to determine whether each graph represents a one-to-one function. Problem 24E: Use Horizontal Line Test to determine whether each graph represents a one-to-one function. Problem 25E: Use Horizontal Line Test to determine whether each graph represents a one-to-one function. Problem 26E Problem 27E: Use Horizontal Line Test to determine whether each graph represents a one-to-one function. Problem 28E: Use Horizontal Line Test to determine whether each graph represents a one-to-one function. Problem 29E: Verify that the functions are inverses by showing that fg and gf are the identity function. fx=5x... Problem 30E Problem 31E Problem 32E Problem 33E: Verify that the functions are inverses by showing that fg and gf are the identity function. fx=x5-1... Problem 34E: Verify that the functions are inverses by showing that fg and gf are the identity function. fx=x5-2... Problem 35E: Verify that the functions are inverses by showing that fg and gf are the identity function. fx=x+1x... Problem 36E Problem 37E: Each equation defines a one-to-one function f. Determine f-1 and verify that ff-1 and f-1f are both... Problem 38E: Each equation defines a one-to-one function f. Determine f-1 and verify that ff-1 and f-1f are both... Problem 39E: Each equation defines a one-to-one function f. Determine f-1 and verify that ff-1 and f-1f are both... Problem 40E: Each equation defines a one-to-one function f. Determine f-1 and verify that ff-1 and f-1f are both... Problem 41E: Each equation defines a one-to-one function f. Determine f-1 and verify that ff-1 and f-1f are both... Problem 42E Problem 43E: Each equation defines a one-to-one function f. Determine f-1 and verify that ff-1 and f-1f are both... Problem 44E: Each equation defines a one-to-one function f. Determine f-1 and verify that ff-1 and f-1f are both... Problem 45E: Each equation defines a one-to-one function f. Determine f-1 and verify that ff-1 and f-1f are both... Problem 46E Problem 47E: Each equation defines a one-to-one function f. Determine f-1 and verify that ff-1 and f-1f are both... Problem 48E Problem 49E: Find the inverse of each one-to-one function and graph both the function and its inverse on the same... Problem 50E Problem 51E: Find the inverse of each one-to-one function and graph both the function and its inverse on the same... Problem 52E Problem 53E Problem 54E Problem 55E Problem 56E Problem 57E: Find the inverse of each one-to-one function and graph both the function and its inverse on the same... Problem 58E: Find the inverse of each one-to-one function and graph both the function and its inverse on the same... Problem 59E Problem 60E Problem 61E Problem 62E Problem 63E Problem 64E: Find the inverse of each one-to-one function and graph both the function and its inverse on the same... Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E Problem 73E Problem 74E Problem 75E Problem 76E Problem 77E: Find the domain and the range of f.Find the range by finding the domain of f-1. fx=1x-2 Problem 78E: Find the domain and the range of f.Find the range by finding the domain of f-1. fx=3x-12 Problem 79E Problem 80E: Applications Cell phone bills A phone company charges 11 per month plus a nickel per call. a. Find a... Problem 81E Problem 82E Problem 83E Problem 84E Problem 85E Problem 86E Problem 87E Problem 88E Problem 89E Problem 90E Problem 91E Problem 92E Problem 93E Problem 94E Problem 95E Problem 96E Problem 1SC: Determine whether fx=x is one-to-one.
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Determine whether x is differentiable at x = 0.
Transcribed Image Text: Determine whether f is differentiable at x = 0.
tan-1 (tanh x)
1- log (18x + 10) if 0 < x < 5
if x < 0
f(x) =
if x > 5
4
Note: [[ ]] indicates this is the Greatest Integer Function (GIF)
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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![Determine whether f is differentiable at x = 0.
tan-1 (tanh x)
1- log (18x + 10) if 0 < x < 5
if x < 0
f(x) =
if x > 5
4
Note: [[ ]] indicates this is the Greatest Integer Function (GIF)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8aa3bd9f-b769-42ac-815a-cc505cb0f934%2F32e2f0e4-ea91-4e5c-a407-dfba3070e10f%2Ffwoz41j_processed.png&w=3840&q=75)
