Which description matches the function represented by the values of the table

Answer:  It is an exponential growthTherefore, option C is correct. Step-by-step explanation:The given function is increasing hence, it can not be decaySo, option A and D are incorrect being decay.Now, the given function is:taking two points(1,14) and (2,56)y=ab[tex]14=ab[/tex]     (1)And [tex]56=ab^2[/tex]    (2)Divide 2 by 1 we get:[tex]4=b[/tex]Hence, [tex]a=\frac{y}{b}[/tex]Now, taking point (1,14)[tex]a=\frac{14}{4}=\frac{7}{2}[/tex]So, the function is: [tex]y=\frac{7}{2}\cdot 4^x[/tex]Hence, it is an exponential growthTherefore, option C is correct.