It is possible for the graph of an exponential function to c

Solution

exponential equation => y = a*b^x

substituting first point(0,5)

5 = a*b⁰                        // b^0 = 1

a = 5

from second point

12 = 5*b²

b² = 12/5

now putting the values of a and b and checking whether the equation satisfies

19 = 5*(12/5)²

19 = 5*144/25

19 = 144/5

LHS not equal to RHS

Hence these point are on an exponential Graph