Look at this table. y -1 1 -2 2 -3 3 -4 1 Which of these explains why the table does or does not represent a function? A. The

Look at this table. y -1 1 -2 2 -3 3 -4 1 Which of these explains why the table does or does not represent a function? A. The table does represent a function because each y-value is positive. B. w The table does not represent a function because each x-value is negative. The table does represent a function because each x-value has exactly one y-value. D. The table does not represent a function because there are two different x-values that have the same y-value.​

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  1. see the explanation

    Step-by-step explanation:

    we know that

    To find the average rate of change or slope, we divide the change in the output value by the change in the input value

    The output value is the variable y

    The input value is the variable x

    the average rate of change using the data in the table is equal to

    [tex]\frac{f(b)-f(a)}{b-a}[/tex]

    In this problem we have

    [tex]a=-1[/tex]

    [tex]b=1[/tex]

    [tex]f(a)=f(-1)=5[/tex]  ---> see the table

    [tex]f(b)=f(1)=-1[/tex]  ----> see he table

    Substitute

    [tex]\frac{-1-5}{1+1}=-3[/tex]

    Remember that slope means "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

    In the interval x=-1 and x=1 the average rate is -3

    This negative value make sense, because in the interval [-1,1] the function is a decreasing function

    so

    As the value of x increases, the value of y decreases

    As the value of x increases 1 unit to the right the value of y decreases 3 units down

  2. Apply the same rules, relations, formulae that you guessed in step 1 to all the options. Practice Questions. Q 1: If x = 144 and y = 18, then x : y what. 96: 12; 13 ...

    Step-by-step explanation:

    make me as brain liest

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