Question

For the function F(x) = 1/x, whose graph is shown below, what is the relative value of F(x) when the value of x is close to zero?


A - Either a very large positive or very large negative number 
B.A very small positive number 
C. Only a very large positive number 
D.Only a very large negative number 
E.Either a very small positive or very small negative number

Answer 1

For this case we have the following function:
 F (x) = 1 / x
 We observe that the function is not defined when the denominator is equal to zero, or equivalently:
 x = 0
 The function tends to infinity when x takes positive values close to zero.
 The function tends to minus infinity when x takes negative values close to zero.
 Answer:
 A - Either a very large positive or very large negative number

Answer 2

Based on the scenario above,  the relative value of F(x) when the value of x is close to zero is that Either a very large positive or very large negative number.

What is negative number?

A negative number is known to be any kind of number that is said to its value to often be less than zero and it has a minus (-) sign that is often placed before it. O e.g. -1, -3.

When a person divide a thing by something less than 1, the number is one that gets bigger example:

2 ÷ 0.1 = 20

Note that one can say the thing way goes if it's negative, because as x is very close to 0, it will be said to be very big, or said to be  a big negative number. In the graph attached, x is seen to be positive and negative.

Therefore x getting close to 0" can be said to implies from the negative side and also say from the positive side.

Note that:

The function is seen close to infinity only as x takes positive values close to zero.

The function moves to minus infinity only as x takes negative values close to zero.

Therefore, option A is correct.

Learn more about  negative number from

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