Question

hey can you please help me posted picture of question

Answer 1

The parent reciprocal function is represented in the table.

As you can see, increasing the value of x, decreases the value of y as both are inversely related as:

$y= \frac{1}{x}$

We can also write this equation as:

yx = 1

This means, the product of each x and y value must be 1 for parent reciprocal function. If you observe the table, the product of each pair is 1.

So the correct answer is option A

Answer 2

The pairs of values of x and y above represent that of the equation, 

   y = 1/x.

If we are to substitute the given values of x to determine the values of y for checking, the results are as shown below.

1.   y = 1/-2 = -0.5
2.   y = 1/-1 = -1
3.   y = 1/2 = 0.5
4.   y = 1/3 = 0.33

Thus, the answer to this item is the first option, y = 1/x.