Can somebody help me with this !!!!!
1 answer:
Given:
The graph of a relation.
To find:
The domain, range and check whether it is a function or not.
Solution:
Domain: The set of x-values or input values is known as domain.
Range: The set of y-values or output values is known as range.
A relation is a function if their exist unique outputs for each input. In other words a graph is a relation if it pass the vertical line test.
Vertical line test: Each vertical line intersect the graph at most once.
The given function is defined for all real values of x. So, the domain of the given graph is:
The given function values can be any real number between -1 to 1. So, the range of the given graph is:
For all values of x we have a unique value of the function and the given graph intersect each vertical line at most once.
Since the graph pass the vertical line test therefore the given graph is a function.
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The age of Sari is 8 years.
The age of Justin is 9 years.
Explanation:
Let x denote the age of Justin.
Let y denote the age of Sari.
Given that the product of their age is 72.
Thus, it can be written in equation as
Since, the numbers x and y are consecutive integers and Justin is older, then, it can be written as,
Therefore, the two equations are and
<u>The ages of Sari and Justin:</u>
The ages of Sari and Justin can be determined by solving the two equations.
Let us solve the equations using substitution method.
Substituting in the equation
, we have;
Factoring the equation, we get;
The value of y cannot be negative.
Thus, is the value of y.
Substituting in the equation
, we have;
Thus, the value of x is 9.
Therefore, the age of Sari is 8 years and the age of Justin is 9 years.