
To state: the domain and range of relation. Then determine whether relation is a function, if it is determine if it is one-to-one, onto, both , or neither.

Answer to Problem 62SR
Domain and Range are all real numbers.
The relation is a function.
The function is one-to-one and onto.
Explanation of Solution
Given information:
Formula used:
A function is a relation in which each element of the domain is paired with exactly one element in the range.
One-to −One function: Each element of the domain pairs exactly one unique element of the range.
Onto function: Each element of the range corresponds to an element of the domain.
Vertical−Test: If no vertical line intersects a graph in more than one point, the graph represents a function whereas if vertical line intersects a graph more than one point ,the graph does not represent a function.
Calculation:
According to the question ,
Every real number is the x -coordinate of points showed in graph and every real number is
y -coordinate of points showed in graph.
So, the domain and range are both all real numbers.
The graph passes the vertical test. Therefore, it is a function.
The graph shows the following coordinates:
Every x -value is paired with exactly one unique y -value, and every y -value corresponds to an x -value.
Thus, the function is both one-to-one and onto.
Chapter 2 Solutions
Glencoe Algebra 2 Student Edition C2014
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