Given the graph of the function f(x) below, what happens to f(x) when x is a very large negative number?
a. f(x) is a very small positive number.
b. f(x) is a very large negative number.
c. f(x) is a very small negative number.
d. f(x) is a very large positive number.

The graph shown above is f(x)= .

This is a type of power function which is f(x)= where a is the constant, in this case a is -1 so we get f(x)= .

In f(x)= , we put x a very large negative number as x is the denominator (1/very large number), give us very small negative number.

so,

f(x)=

x a very large negative number , f(x) is a very small negative number.

Option C is correct.

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step-by-step explanation:

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