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- https://math.libretexts.org/Bookshelves/Mathematical_Logic_and_Proof/Book%3A_Mathematical_Reasoning__Writing_and_Proof_(Sundstrom)/06%3A_Functions/6.02%3A_More_about_FunctionsWe have also seen various ways to represent functions. We have also seen that sometimes it is more convenient to give a verbal description of the rule for a function. In cases where the domain and cod...We have also seen various ways to represent functions. We have also seen that sometimes it is more convenient to give a verbal description of the rule for a function. In cases where the domain and codomain are small, finite sets, we used an arrow diagram to convey information about how inputs and outputs are associated without explicitly stating a rule. In this section, we will study some types of functions, some of which we may not have encountered in previous mathematics courses.
- https://math.libretexts.org/Courses/Mount_Royal_University/Mathematical_Reasoning/4%3A_Basic_Concepts_of_Euclidean_Geometry/4.2%3A_2-D_GeometryA polygon is a closed, 2-dimensional shape, with edges(sides) are straight lines. The word “polygon” is derived from Greek for “many angles”. The names of the polygons are taken from the Greek number ...A polygon is a closed, 2-dimensional shape, with edges(sides) are straight lines. The word “polygon” is derived from Greek for “many angles”. The names of the polygons are taken from the Greek number prefixes followed by –gon, with only a couple exceptions.
- https://math.libretexts.org/Courses/SUNY_Schenectady_County_Community_College/Discrete_Structures/06%3A_Functions/6.02%3A_More_about_FunctionsWe have also seen various ways to represent functions. We have also seen that sometimes it is more convenient to give a verbal description of the rule for a function. In cases where the domain and cod...We have also seen various ways to represent functions. We have also seen that sometimes it is more convenient to give a verbal description of the rule for a function. In cases where the domain and codomain are small, finite sets, we used an arrow diagram to convey information about how inputs and outputs are associated without explicitly stating a rule. In this section, we will study some types of functions, some of which we may not have encountered in previous mathematics courses.
- https://math.libretexts.org/Bookshelves/Analysis/Mathematical_Analysis_(Zakon)/04%3A_Function_Limits_and_Continuity/4.09%3A_The_Intermediate_Value_PropertyGeometrically, if \( A \subseteq E ^ { 1 } , \) this means that the curve \( y = f ( x ) \) meets all horizontal lines \( y = q , \) for \( q \) between \( f ( p ) \) and \( f \left( p _ { 1 } \right)...Geometrically, if \( A \subseteq E ^ { 1 } , \) this means that the curve \( y = f ( x ) \) meets all horizontal lines \( y = q , \) for \( q \) between \( f ( p ) \) and \( f \left( p _ { 1 } \right) . \) For example, in Figure 13 in \( § 1 , \) we have a "smooth" curve that cuts each horizontal line \( y = q \) between \( f ( 0 ) \) and \( f \left( p _ { 1 } \right) ; \) so \( f \) has the Darboux property on \( \left[ 0 , p _ { 1 } \right] . \) In Figures 14 and \( 15 , \) there is a "gap" a…
