How many numbers

are reciprocal of themselves?

  two: +1 and -1

Step-by-step explanation:

If a number is equal to its own reciprocal, it will satisfy the equation ...

  x = 1/x

Multiplying by x and subtracting 1 gives ...

  x^2 -1 = 0

This factors as ...

  (x -1)(x +1) = 0

By the zero product rule, the solutions are those values of x that make one or more factors zero:

  x = 1

  x = -1

There are two self-reciprocals.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.