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- https://math.libretexts.org/Courses/Highline_College/Math_141%3A_Precalculus_I_(old_edition)/04%3A_Exponential_and_Logarithmic_Functions/4.04%3A_Graphs_of_Logarithmic_FunctionsIn this section we will discuss the values for which a logarithmic function is defined, and then turn our attention to graphing the family of logarithmic functions.
- https://math.libretexts.org/Courses/Hartnell_College/MATH_25%3A_PreCalculus_(Abramson_OpenStax)/04%3A_Exponential_and_Logarithmic_Functions/4.04%3A_Graphs_of_Logarithmic_FunctionsIn this section we will discuss the values for which a logarithmic function is defined, and then turn our attention to graphing the family of logarithmic functions.
- https://math.libretexts.org/Workbench/Book-_Precalculus_I_for_Highline_College_w/Rational_Inequalities_and_Equations_of_Circles/1.04%3A_Exponential_and_Logarithmic_Functions/1.4.05%3A_Graphs_of_Logarithmic_FunctionsIn this section we will discuss the values for which a logarithmic function is defined, and then turn our attention to graphing the family of logarithmic functions.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_384%3A_Foundations_for_Calculus/11%3A_Exponential_and_Logarithmic_Functions/11.04%3A_Graphs_of_Logarithmic_FunctionsThis section explores the graphs of logarithmic functions, explaining their key features such as domain, range, vertical asymptotes, and intercepts. It discusses how transformations, including shifts,...This section explores the graphs of logarithmic functions, explaining their key features such as domain, range, vertical asymptotes, and intercepts. It discusses how transformations, including shifts, reflections, and stretches, affect the graph. Examples illustrate how to sketch logarithmic functions and analyze their behavior in different contexts.
- https://math.libretexts.org/Courses/Monroe_Community_College/MTH_165_College_Algebra_MTH_175_Precalculus/04%3A_Exponential_and_Logarithmic_Functions/4.04%3A_Graphs_of_Logarithmic_FunctionsGraph log functions using transformations (vertical and horizontal shifts and reflections, vertical stretches). Determine the domain and vertical asymptote of a log function algebraically.
- https://math.libretexts.org/Courses/Quinebaug_Valley_Community_College/MAT186%3A_Pre-calculus_-_Walsh/04%3A_Exponential_and_Logarithmic_Functions/4.04%3A_Graphs_of_Logarithmic_FunctionsIn this section we will discuss the values for which a logarithmic function is defined, and then turn our attention to graphing the family of logarithmic functions.
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_2e_(OpenStax)/04%3A_Exponential_and_Logarithmic_Functions/4.05%3A_Graphs_of_Logarithmic_FunctionsIn this section we will discuss the values for which a logarithmic function is defined, and then turn our attention to graphing the family of logarithmic functions.
- https://math.libretexts.org/Courses/Coastline_College/Math_C170%3A_Precalculus_(Tran)/04%3A_Exponential_and_Logarithmic_Functions/4.05%3A_Graphs_of_Logarithmic_FunctionsIn this section we will discuss the values for which a logarithmic function is defined, and then turn our attention to graphing the family of logarithmic functions.
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_1e_(OpenStax)/04%3A_Exponential_and_Logarithmic_Functions/4.04%3A_Graphs_of_Logarithmic_FunctionsIn this section we will discuss the values for which a logarithmic function is defined, and then turn our attention to graphing the family of logarithmic functions.
- https://math.libretexts.org/Courses/Truckee_Meadows_Community_College/TMCC%3A_Precalculus_I_and_II/Under_Construction_test2_04%3A_Exponential_and_Logarithmic_Functions/Under_Construction_test2_04%3A_Exponential_and_Logarithmic_Functions_4.4%3A_Graphs_of_Logarithmic_FunctionsTo visualize reflections, we restrict \(b>1\), and observe the general graph of the parent function \(f(x)={\log}_b(x)\) alongside the reflection about the \(x\)-axis, \(g(x)=−{\log}_b(x)\) and the re...To visualize reflections, we restrict \(b>1\), and observe the general graph of the parent function \(f(x)={\log}_b(x)\) alongside the reflection about the \(x\)-axis, \(g(x)=−{\log}_b(x)\) and the reflection about the \(y\)-axis, \(h(x)={\log}_b(−x)\).
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_375%3A_Pre-Calculus/13%3A_Exponential_and_Logarithmic_Functions/13.04%3A_Graphs_of_Logarithmic_FunctionsThis section explores the graphs of logarithmic functions, explaining their key features such as domain, range, vertical asymptotes, and intercepts. It discusses how transformations, including shifts,...This section explores the graphs of logarithmic functions, explaining their key features such as domain, range, vertical asymptotes, and intercepts. It discusses how transformations, including shifts, reflections, and stretches, affect the graph. Examples illustrate how to sketch logarithmic functions and analyze their behavior in different contexts.
