Respuesta :
f(x)= 2×[tex]4^x[/tex] is the relevant function for the given points.
Option: C.
Step-by-step explanation:
To find the function the respective function substitute the point in each function. And then equate the final values.
a) f(x)=4×[tex]8^x[/tex].
Substitute (1,8)
8=4×[tex]8^1[/tex]
8=4×8.
8≠32.
So this function is not the relevant.
b) f(x)= 4×[tex]2^x[/tex].
Substitute (1,8) Substitute (0,2)
8=4×[tex]2^1[/tex]. 2=4×[tex]2^0[/tex].
8=4×2. 2=4×1.
8=8. 2≠4.
So this function is not the relevant.
c) f(x)= 2×[tex]4^x.[/tex]
Substitute (1,8) Substitute (0,2)
8=2×[tex]4^1[/tex]. 2=2×[tex]4^0[/tex].
8=2×4. 2=2×1.
8=8. 2=2
f(x)= 2×[tex]4^x[/tex] is the relevant function for the given points.
