Answer:
Option B is the answer.
Step-by-step explanation:
To get the equation of the graph we will check all the options given whether they pats through ( 0, 4 ) and (1, 8 )
Option A ⇒ f(x) = [tex]4.(8)^{x}[/tex]
for (0, 4)
f(0) = [tex]4.(8)^{0}=4[/tex]
for (1, 8 )
f(1) = 4.(8)[tex]^{1}[/tex] = 32 ≠ 8
so incorrect option
Option B ⇒ f(x) = [tex]4.(2)^{x}[/tex]
for (0,4)
f(0) = [tex]4.(2)^{0}[/tex]
= 4
for (1,8) = [tex]4.(2)^{1}[/tex]
= 8 Correct option
Option C ⇒ f(x) = [tex]2.(4)^{x}[/tex]
for (0, 4)
f(0) = [tex]2.4^{0}[/tex]
= 2 ≠ 4 Incorrect option
Option D ⇒ f(x) = [tex]8.4^{x}[/tex]
for (0, 4)
f(0) = [tex]8.4^{0}[/tex] = 8 ≠ 4 Incorrect option
Option B is the answer.
