Decide whether the difference represents a rational or an irrational number.

9514 1404 393

  irrational

Step-by-step explanation:

7 is not a square integer, so √7 is irrational.

When combined with rational numbers, the result will be irrational. Here, "combined" means √7 is multiplied by a rational number and the result subtracted from a rational number. Neither of those operations will give a rational result.

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.