The given rational functions is graphed in the figure is Option B. f(x) = 1/ ( x-2) (x + 5) is correct.
What is a function?
The function is a type of relation, or rule, that maps one input to specific single output.
Here, a graph is given.
We need to find which of the given rational functions is graphed in the figure.
On x-axis, 1 unit = 2 units
Clearly, we can see the graph is not defined at point x = 2 and at x = -5.
Corresponding to x = 2, factor is (x - 2) .
Corresponding to x = -5, factor is (x + 5) .
So, this graph is of the rational fraction
Hence, Option B. f(x) = 1/ ( x-2) (x + 5) is correct.
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