To Find:The domain of the relation and draw its graph .Is relation is a function.
Answer to Problem 9ST
The domain of the given relation is {-2,-1,0,1,2}.
The relation is a function.
Explanation of Solution
Given information:Given relation is
Calculation:
Given function is:
According to absolute value function definition:
And:
For equation (1)
So, the points for equation (1) are (-2,4),(-1,3),(0,2),(1,1),(2,0)
For equation (2)
So, the points for equation (2) are (-2,0),(-1,1),(0,2),(1,3),(2,4)
Sketch the graph of the given relation.
The final graph passes the vertical line test as each value of x generates just one value of y , this relation is a function.
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Algebra and Trigonometry: Structure and Method, Book 2
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