Search
- Filter Results
- Location
- Classification
- Include attachments
- https://math.libretexts.org/Courses/Fresno_City_College/Math_3A%3A_College_Algebra_-_Fresno_City_College/02%3A_Functions/2.01%3A_Functions_and_Function_NotationA jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a ...A jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a relationship between the two quantities that we can describe, analyze, and use to make predictions. In this section, we will analyze such relationships.
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_1e_(OpenStax)/01%3A_Functions/1.01%3A_Functions_and_Function_NotationA jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a ...A jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a relationship between the two quantities that we can describe, analyze, and use to make predictions. In this section, we will analyze such relationships.
- https://math.libretexts.org/Courses/Hartnell_College/MATH_25%3A_PreCalculus_(Abramson_OpenStax)/01%3A_Functions/1.01%3A_Functions_and_Function_NotationA jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a ...A jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a relationship between the two quantities that we can describe, analyze, and use to make predictions. In this section, we will analyze such relationships.
- https://math.libretexts.org/Courses/Monroe_Community_College/MTH_220_Discrete_Math/5%3A_Functions/5.3%3A_One-to-One_FunctionsThe images of 1 and 2 under them are listed below. \[\begin{array}{|c||*{12}{c|}} \hline & f_1 & f_2 & f_3 & f_4 & f_5 & f_6 & f_7 & f_8 & f_9 & f_{10} & f_{11} & f_{12} \\ \hline\hline 1 & a & a & a ...The images of 1 and 2 under them are listed below. \[\begin{array}{|c||*{12}{c|}} \hline & f_1 & f_2 & f_3 & f_4 & f_5 & f_6 & f_7 & f_8 & f_9 & f_{10} & f_{11} & f_{12} \\ \hline\hline 1 & a & a & a & b & b & b & c & c & c & d & d & d \\ \hline 2 & b & c & d & a & c & d & a & b & d & a & b & c \\ \hline \end{array}\]
- https://math.libretexts.org/Courses/Highline_College/Math_141%3A_Precalculus_I_(old_edition)/02%3A_Inequalities_and_Functions/2.02%3A_Functions_and_Function_NotationA jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a ...A jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a relationship between the two quantities that we can describe, analyze, and use to make predictions. In this section, we will analyze such relationships.
- https://math.libretexts.org/Under_Construction/Purgatory/Remixer_University/Username%3A_hdagnew@ucdavis.edu/PreCalc_(DSL)/01%3A_Functions/1.02%3A_Functions_and_Function_NotationA jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a ...A jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a relationship between the two quantities that we can describe, analyze, and use to make predictions. In this section, we will analyze such relationships.
- https://math.libretexts.org/Courses/Lorain_County_Community_College/Book%3A_Precalculus_(Stitz-Zeager)_-_Jen_Test_Copy/05%3A_Further_Topics_in_Functions/5.03%3A_Inverse_FunctionsThus \(h = h \circ I_{2} = h \circ (f \circ g) = (h \circ f) \circ g = I_{1} \circ g = g\), as required.\footnote{It is an excellent exercise to explain each step in this string of equalities.} We sum...Thus \(h = h \circ I_{2} = h \circ (f \circ g) = (h \circ f) \circ g = I_{1} \circ g = g\), as required.\footnote{It is an excellent exercise to explain each step in this string of equalities.} We summarize the discussion of the last two paragraphs in the following theorem. \footnote{In the interests of full disclosure, the authors would like to admit that much of the discussion in the previous paragraphs could have easily been avoided had we appealed to the description of a function as a set o…
- https://math.libretexts.org/Courses/Coastline_College/Math_C170%3A_Precalculus_(Tran)/01%3A_Functions/1.02%3A_Functions_and_Function_NotationA jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a ...A jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a relationship between the two quantities that we can describe, analyze, and use to make predictions. In this section, we will analyze such relationships.
- https://math.libretexts.org/Courses/Lorain_County_Community_College/Book%3A_Precalculus_Jeffy_Edits_3.75/05%3A_Further_Topics_in_Functions/5.03%3A_Inverse_FunctionsThus \(h = h \circ I_{2} = h \circ (f \circ g) = (h \circ f) \circ g = I_{1} \circ g = g\), as required.\footnote{It is an excellent exercise to explain each step in this string of equalities.} We sum...Thus \(h = h \circ I_{2} = h \circ (f \circ g) = (h \circ f) \circ g = I_{1} \circ g = g\), as required.\footnote{It is an excellent exercise to explain each step in this string of equalities.} We summarize the discussion of the last two paragraphs in the following theorem. \footnote{In the interests of full disclosure, the authors would like to admit that much of the discussion in the previous paragraphs could have easily been avoided had we appealed to the description of a function as a set o…
- https://math.libretexts.org/Courses/Coastline_College/Math_C097%3A_Support_for_Precalculus_Corequisite%3A_MATH_C170/1.03%3A_Inequalities_and_Functions/1.3.09%3A_Inverse_FunctionsFigure \(\PageIndex{2}\): (a) This function is a not a one-to-one function because there are two inputs, \(q\) and \(r\), associated with a single output, \(n\). (b) This function is a one-to-one func...Figure \(\PageIndex{2}\): (a) This function is a not a one-to-one function because there are two inputs, \(q\) and \(r\), associated with a single output, \(n\). (b) This function is a one-to-one function since it is a function where each output has only one input associated with it. (c) This relation is not a function so it can not be a one-to-one function.
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_2e_(OpenStax)/01%3A_Functions/1.02%3A_Functions_and_Function_NotationA jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a ...A jetliner changes altitude as its distance from the starting point of a flight increases. The weight of a growing child increases with time. In each case, one quantity depends on another. There is a relationship between the two quantities that we can describe, analyze, and use to make predictions. In this section, we will analyze such relationships.
