For each function in Exercise 1, determine whether that function is ? (x2) and whether it is ? (x2).

Solution: Step 1 :If f and g be function from the set of integer or the set of real numbers to the set of real numbers.If is for some c and k where x>kIn particularis if and only if (a) * If then This shows that in * For any c, Thus whenever This shows that in ..’. This function is but not Hence it is not Step 2 : (b) * Let c is any number and k=1then for f(x) is in * If then This shows that in .’. The function is Hene it is in .Step 3 ;(c) * For any given and This shows Hence is not in * For all This shows that is not in .’. This function is not , but is Hence , it is not