a \((1,3),(2,4),(3,5),(4,6)\) b \((1,3),(3,2),(1,7),(-1,4)\)c \((2,-1),(2,0),(2,3),(2,11)\) d \((7,6),(5,6),(3,6),(-4,6)\)e \((0,0),(1,0),(3,0),(5,0)\) f \((0,0),(0,-2),(0,2),(0,4)\) 相关知识点: ...
解析 (1)Function (2)Not a function, because the element 1 in A corresponds to two elements, -2 and 1, in B. (3)Function (4)Not a function, because not every element in A is matched with an element in B. 结果一 题目 一个数学问题which sets of ordered pairs represent functions...
A function is a way of associating each element of a set A with exactly one element of another set B . A precise set-theoretic definition of a function in terms of ordered pairs is presented and the meaning of a "well-defined" function is discussed. Proof strategies are introduced that ...
A relation is a set of ordered pairs. A function is a specific type of relation in which each domain value, or input, leads to exactly one range value, or output. Function notation is a shorthand method for relating the input to the output in the form y=f(x)y=f(x). In tabular ...
RELATION A set of ordered pairs INDEPENDENT VARIABLE A quantity that is being manipulated in an experiment, the input DEPENDENT VARIABLE What is being measured in an experiment or evaluated in a mathematical equation; the output Any function that graphs to a straight line LINEAR FUNCTION Any functi...
A relation is a set of ordered pairs. A function is a specific type of relation in which each domain value, or input, leads to exactly one range value, or output. Function notation is a shorthand method for relating the input to the output in the form y=f(x)y=f(x). In tabular ...
Constant Rate of Change We can represent this information with the ordered pairs (1980, 28.4) and (2004, 41.7). Then Because the rate of change is constant (i.e., for any change in the input, the output always changes by exactly m times as much), m will be the same when comparing...
Wecanrepresentafunctionf:A→Basasetoforderedpairsf={(a,f(a))|a∈A}.ThismakesfarelationbetweenAandB:fisasubsetofAxB.Butfunctionsarespecial:foreverya∈A,thereisatleastonepair(a,b).Formally:∀a∈A∃b∈B((a,b)∈f)foreverya∈A,thereisatmostonepair(a,b).Formally:¬∃a,b,c((a,b)...
firstnumbers of theordered pairs. In other words, the domain is all of the x-values. The range: Is the set of thesecondnumbers in each pair, or the y-values. Example 1 In the relation above thedomainis { 5, 1 , 3 } .(highlight) ...
Swapping the ordered pairsAlgebraic methodGraphical method Q.2. What is an inverse of a function? Ans: An inverse function in Mathematics is a function that reverses the action of another function. Subtraction and division, for example, are the inverses of addition and multiplication, respectively...