Question

Please help me with this ASAP

Answer 1

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
`2 \cdot 2^x = 2^(x+1)`

Which is an exponential function.

OR

f(x) = 2 , 4 , 6 , 8 is geometric sequence with common ratio 2.

General term of the sequence =
`a r^(x)`, where a is the first term = 2, r is the common ratio 2.