Question

PLEASE HELP Write the function for the graph

Answer 1

b.)f(x)=4×(2)^x.......

Answer 2

Option B is the answer.

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.