Which of the following statements is not true? a. two or more distinct elements in the domain of a function can correspond to the same element in the range. b. if the domain and range of a relation are sets of real numbers, then the relation can be represented by plotting ordered pairs in the cartesian plane. c. every function is a relation but not every relation is a function. d. if the domain of a function consists of more than one element, then the range must also consist of more than one element.

D

Step-by-step explanation:

A. Two or more distinct elements in the domain of a function can correspond to the same element in the range. True Given the fact that every x ∈ D, and y ∈ R.For instance, y=x², where for x=-1, and x=1 then y=1

B. If the Domain and Range of a relation are sets of real numbers, then the relation can be represented by plotting ordered pairs in the Cartesian plane. True. The Cartesian plane is a 2D representation of the Real Set.

C. Every function is a relation but not every relation is a function True. A function is a relation in which every element of a set A (Range) correspond to one element in set B (Range)

D. If the Domain of a function consists of more than one element, then the range must also consist of more than one element. False The definition of a function assures us that, each element of the Domain correspond to one element in the Range, but does not guarantee that each function is injective, an "one to one" function, so that's possible to have a function of more than one element in the Domain and just one element on the Range.

21

step-by-step explanation: