The interpretation of the graph that represents a functions and the functions gives
23. The input value that corresponds with an output of 2 is -2
24. The completed table that gives a function when t is the independent variable but does not give a function when t is the dependent variable is presented as follows;
[tex]\left[\begin{matrix}{}t & 0 & 1 & 2 & 3 & 4 & 5\\v & 0 & 1 & 3 & 6 & 3&1 \\\end{matrix}\right][/tex]
A function maps each elements from one set to exactly one element in another set.
23. The points in the given graph are: (-4, 0), (-2, 2), (-1, 1), (1, 1), (2, 0), and (4, -2)
From the above values on the graph of the function, we have that at the point (x, y) = (-2, 2), when the output, y = 2, the input, x = -2
Therefore, the input value that corresponds to an output of 2 is -2
24. A function is the relationship between an input and an output such that each input has only one output, and therefore, a vertical line drawn from the independent variable axis (x-axis), intersects the graph of the function only once.
The output is known as the dependent variable, while the input is the independent variable.
Completing the table such that when t is the independent variable, the relationship is a function, and when t is the dependent variable, the relation is not a function, is therefore given by a table in which two values of t gives the same value of v as follows;
The above is a function when t is the independent variable given that each value of t has one value of the velocity v
When t is the dependent variable however, we have that the independent variable values of 1 gives two outputs of 1 and 5, which gives the table:
[tex]\left[\begin{matrix}{}t & 0 & 1 & 5 & 2 & 4 & 3\\v & 0 & 1 & 1 & 3 & 3&6 \\\end{matrix}\right][/tex]
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