Question

PLEASE HELPPPP
For each of the relation sets below, determine the domain and range, along with
whether or not the set represents a function. If the relation set is not a function, explain
why.
a. {(0,9), (8, 1), (-1, 9), (9, 8), (1, -1)}
b. {(62, -3.1), (61, -3.1), (60, -3.1), (-3.1, -3.1)}
c. {(123,876), (-15, 2.6), (2.6, -15), (123, 1), (-87, -0.98)}
d. {(2.9, 0), (2.9, 1), (2.9, 2), (2.9, 3)}

Answers

  1. Answer: See in the explanation
    Step-by-step explanation:
    The domain is all of the X values in a set.  
    The range is all of the Y values in a set.
    You can tell if a set of coordinate pairs is a function if each x value corresponds to 1 Y value. For example, lets say we have an x value of 3. This X value can only correspond to ONE y value. So if the x value 3 corresponded to , e.g, 4, or 7 as y values, it would not be a function because 1 x value has to have only 1 y value. 
    a. {(0,9), (8, 1), (-1, 9), (9, 8), (1, -1)}
    * This relation is a function, because there aren’t many of the same x value numbers.
    * The domain is {0, 8, -1, 9, 1}. Those are all of the X values
    * The range is {9, 1, 9, 8, -1} (All of the Y values)
    b. {(62, -3.1), (61, -3.1), (60, -3.1), (-3.1, -3.1)}
    * This relation is a function, because even though all of the y values are the same , the x values are different.
    * The domain is {62, 61, 60, -3.1}.
    * The range is {-3.1, -3.1, -3.1, -3.1}
    c. {(123,876), (-15, 2.6), (2.6, -15), (123, 1), (-87, -0.98)}
    * This relation is a function, because all of the X values are different
    * The domain is {123,876, -15, 2.6, 123, -87}
    * The range is {0, 2.6, -15, 1, -0.98}
    d. {(2.9, 0), (2.9, 1), (2.9, 2), (2.9, 3)}
    * This relation is not a function. All of the x values are the same, and for this reason, they all have different y values.
    * The domain is {2.9, 2.9, 2.9, 2.9}
    * The range is {0, 1, 2, 3}
    Hope this helps :)) Brainliest would be appreciated 😀

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