Question

PLEASE HELP Write the function for the graph

Answer 1

B.)f(x)=4×(2)^x.......

Answer 2

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) = $4.(8)^{x}$

for (0, 4)

f(0) = $4.(8)^{0}=4$

for (1, 8 )

f(1) = 4.(8)$^{1}$ = 32 ≠ 8

so incorrect option

Option B ⇒ f(x) = $4.(2)^{x}$

for (0,4)

f(0) =  $4.(2)^{0}$

= 4

for (1,8) =  $4.(2)^{1}$

= 8 Correct option

Option C ⇒ f(x) =  $2.(4)^{x}$

for  (0, 4)

f(0) =  $2.4^{0}$

= 2 ≠ 4   Incorrect option

Option D ⇒ f(x) =  $8.4^{x}$

for (0, 4)

f(0) =  $8.4^{0}$ = 8 ≠ 4   Incorrect option

Option B is the answer.