Answer:
First option is correct.
Step-by-step explanation:
From the given table it is noticed that the exponential function passing through (3,8), (4,16) and (5,32).
Let the exponential function be
[tex]f(x)=ab^x[/tex]
The exponential function passing through (3,8).
[tex]8=ab^3[/tex] ..... (1)
The exponential function passing through (4,16).
[tex]16=ab^4[/tex] ..... (2)
Divide equation 2 by equation 1.
[tex]2=b[/tex]
Put this value in equation 1.
[tex]8=a(2)^3[/tex]
[tex]8=8a[/tex]
[tex]a=1[/tex]
The value of a is 1 and the value of b is 2, therefore the function is defined as
[tex]f(x)=2^x[/tex]
Therefore first option is correct.
