Which of the following statements best describes the relationship of a relation and a function? select all that apply. a relation is always a function. a function is always a relation. a function is a relation, if and only if, the x-values do not repeat in a given set. a relation is a function, if and only if, the x- values do not repeat in a given set. a function is never a relation. a relation is never a function.

A function is always a relation.

Step-by-step explanation:

We know that a relation is said to be a function, if for every input value (independent variable-x) there is only one unique (dependent variable -y).

Let's check all the statements:

A function is always a relation.

→ It is true, each and every function is a relation but not evry relation is a function.

A function is a relation, if and only if, the x-values do not repeat in a given set.

→Every function is a relation, so there is no such condition to be a relation.

A relation is a function, if and only if, the x- values do not repeat in a given set.

→ It is not true, x-values can be repeated but the corresponding y-values must remains same.

A function is never a relation.

→ It is not true by the definition of function.

A relation is never a function.

→ It is not true by the definition of function.

days of the week

step-by-step explanation:

javier earned more money then kyle, so that won't always be a constant term, but the days of the week do not change so that term is always constant.

edit: i meant

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)