Answer:
Step-by-step explanation:
f(x ) = 2, 4 , 8 , 16
= 2, 2², 2³, 2⁴
= 2 x 2⁰ , 2 x 2¹, 2 x 2², 2 x 2³
x = 0 1 2 3
f( x) = 2 x 2⁰ 2 x 2¹ 2 x 2² 2 x 2³
Clearly , f(x) is of the form [tex]2 \cdot 2^x = 2^{x+1}[/tex]
Which is an exponential function.
OR
f(x) = 2 , 4 , 6 , 8 is geometric sequence with common ratio 2.
General term of the sequence = [tex]a r^{x}[/tex], where a is the first term = 2, r is the common ratio 2.
