Answer:
Option 2 is correct.
Step-by-step explanation:
We have been given points of g(x) and f(x)
g(x) has ordered pairs (0,1) ,(1,2) ,(3,8) ,(5,32) and (6,64) this is an exponential function which is from the given points.
f(x) has ordered pairs (0,1) ,(1,2) ,(3,10) ,(5,26) and (6,37) this is a quadratic function
We will put these values in the quadratic function which is:
Taking (0,1)
c=1
Now, taking (1,2)
(1)
Now, taking (3,10)
(2)
Now, solving the equation (1) and (2) we get:
a=1 and b=0
Hence, the function
Please look at the attachment for the graph
We can see that the g(x) an exponential function will eventually exceed the increasing quadratic function
Therefore, option 2 is correct.
