Question

Explain why no part of the graph y =10/x^2 appears below the x-axis? the answer is B. The y-value is always positive

Answer 1

The value of
`y=(10)/(x^(2))` will always be positive and will be above
`x`-axis.

Explanation:

The negative or positive value of 'y' depends on the function itself i.e. the nature of
`x`.

For example,

• The negative or positive sign associated with terms of
  `x`. For example:
  `y = -x^3` will always be negative.
• The functions like modulus or even powers of
  `x`. For example
  `y = |x|` will always be positive and above
  `x` axis i.e. no part below
  `x`-axis.

In the current scenario, we are given the function

`y=(10)/(x^(2))`

Here, we have even power of
`x` and the sign associated with
`x` is also positive.

So, value of
`y` will always be positive.

If we provide value of
`x` as negative, even then we will get value of
`y` as positive because the value of
`x` is squared.

Please refer to the graph attached for the function:

`y=(10)/(x^(2))`