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- https://math.libretexts.org/Courses/Quinebaug_Valley_Community_College/MAT186%3A_Pre-calculus_-_Walsh/04%3A_Exponential_and_Logarithmic_Functions/4.01%3A_Exponential_FunctionsWhen populations grow rapidly, we often say that the growth is “exponential,” meaning that something is growing very rapidly. To a mathematician, however, the term exponential growth has a very specif...When populations grow rapidly, we often say that the growth is “exponential,” meaning that something is growing very rapidly. To a mathematician, however, the term exponential growth has a very specific meaning. In this section, we will take a look at exponential functions, which model this kind of rapid growth.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus_(2e)/04%3A_Exponential_and_Logarithmic_Functions/4.01%3A_Exponential_FunctionsThis section introduces exponential functions, focusing on their definition, properties, and applications. It explains how to identify exponential growth and decay, interpret graphs, and analyze their...This section introduces exponential functions, focusing on their definition, properties, and applications. It explains how to identify exponential growth and decay, interpret graphs, and analyze their behavior. Examples demonstrate how to evaluate and use exponential functions in various contexts, such as modeling population growth or radioactive decay.
- https://math.libretexts.org/Courses/Mission_College/Math_001%3A_College_Algebra_(Kravets)/06%3A_Exponential_and_Logarithmic_Functions/6.01%3A_Exponential_FunctionsWhen populations grow rapidly, we often say that the growth is “exponential,” meaning that something is growing very rapidly. To a mathematician, however, the term exponential growth has a very specif...When populations grow rapidly, we often say that the growth is “exponential,” meaning that something is growing very rapidly. To a mathematician, however, the term exponential growth has a very specific meaning. In this section, we will take a look at exponential functions, which model this kind of rapid growth.
- https://math.libretexts.org/Courses/Highline_College/Math_141%3A_Precalculus_I_(old_edition)/04%3A_Exponential_and_Logarithmic_Functions/4.01%3A_Exponential_FunctionsWhen populations grow rapidly, we often say that the growth is “exponential,” meaning that something is growing very rapidly. To a mathematician, however, the term exponential growth has a very specif...When populations grow rapidly, we often say that the growth is “exponential,” meaning that something is growing very rapidly. To a mathematician, however, the term exponential growth has a very specific meaning. In this section, we will take a look at exponential functions, which model this kind of rapid growth.
- 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/1.4.02%3A_Exponential_FunctionsWhen populations grow rapidly, we often say that the growth is “exponential,” meaning that something is growing very rapidly. To a mathematician, however, the term exponential growth has a very specif...When populations grow rapidly, we often say that the growth is “exponential,” meaning that something is growing very rapidly. To a mathematician, however, the term exponential growth has a very specific meaning. In this section, we will take a look at exponential functions, which model this kind of rapid growth.
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_1e_(OpenStax)/04%3A_Exponential_and_Logarithmic_Functions/4.01%3A_Exponential_FunctionsWhen populations grow rapidly, we often say that the growth is “exponential,” meaning that something is growing very rapidly. To a mathematician, however, the term exponential growth has a very specif...When populations grow rapidly, we often say that the growth is “exponential,” meaning that something is growing very rapidly. To a mathematician, however, the term exponential growth has a very specific meaning. In this section, we will take a look at exponential functions, which model this kind of rapid growth.
- https://math.libretexts.org/Courses/Monroe_Community_College/MTH_165_College_Algebra_MTH_175_Precalculus/04%3A_Exponential_and_Logarithmic_Functions/4.01%3A_Exponential_FunctionsDefine exponential functions. Compare linear and exponential growth. Evaluate exponential functions. Construct a basic exponential equation y = a(b^x) given two given points or a graph. Compound and C...Define exponential functions. Compare linear and exponential growth. Evaluate exponential functions. Construct a basic exponential equation y = a(b^x) given two given points or a graph. Compound and Continuous Interest. Continuous exponential growth or decay formula y = a e^(rt)
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_2e_(OpenStax)/04%3A_Exponential_and_Logarithmic_Functions/4.02%3A_Exponential_FunctionsWhen populations grow rapidly, we often say that the growth is “exponential,” meaning that something is growing very rapidly. To a mathematician, however, the term exponential growth has a very specif...When populations grow rapidly, we often say that the growth is “exponential,” meaning that something is growing very rapidly. To a mathematician, however, the term exponential growth has a very specific meaning. In this section, we will take a look at exponential functions, which model this kind of rapid growth.
- 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_4.1%3A_Exponential_FunctionsWe must use the information to first write the form of the function, then determine the constants \(a, a\) and \(b, b\),and evaluate the function. \(A(t)=ae^{rt}\), where \(t\) is the number of unit t...We must use the information to first write the form of the function, then determine the constants \(a, a\) and \(b, b\),and evaluate the function. \(A(t)=ae^{rt}\), where \(t\) is the number of unit time periods of growth \(a\) is the starting amount (in the continuous compounding formula a is replaced with \(P\), the principal) \(e\) is the mathematical constant, \(e≈2.718282\)
- https://math.libretexts.org/Courses/Hartnell_College/MATH_25%3A_PreCalculus_(Abramson_OpenStax)/04%3A_Exponential_and_Logarithmic_Functions/4.01%3A_Exponential_FunctionsWhen populations grow rapidly, we often say that the growth is “exponential,” meaning that something is growing very rapidly. To a mathematician, however, the term exponential growth has a very specif...When populations grow rapidly, we often say that the growth is “exponential,” meaning that something is growing very rapidly. To a mathematician, however, the term exponential growth has a very specific meaning. In this section, we will take a look at exponential functions, which model this kind of rapid growth.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_384%3A_Foundations_for_Calculus/11%3A_Exponential_and_Logarithmic_Functions/11.01%3A_Exponential_FunctionsThis section introduces exponential functions, focusing on their definition, properties, and applications. It explains how to identify exponential growth and decay, interpret graphs, and analyze their...This section introduces exponential functions, focusing on their definition, properties, and applications. It explains how to identify exponential growth and decay, interpret graphs, and analyze their behavior. Examples demonstrate how to evaluate and use exponential functions in various contexts, such as modeling population growth or radioactive decay.
