Question

write the function for the graph (1,8)(0,2). a. f(x)=4*(8)^x b. f(x)=4*(2)x c. f(x)=2*(4)^x d. f(x)=2*(8)^x (((apex)))

Answer 1

F(x)=4* (2)^X

Explanation:

Answer 2

f(x)= 2×
`4^x` is the relevant function for the given points.

Option: C.

Explanation:

To find the function the respective function substitute the point in each function. And then equate the final values.

a) f(x)=4×
`8^x`.

Substitute (1,8)

8=4×
`8^1`

8=4×8.

8≠32.

So this function is not the relevant.

b) f(x)= 4×
`2^x`.

Substitute (1,8) Substitute (0,2)

8=4×
`2^1`. 2=4×
`2^0`.

8=4×2. 2=4×1.

8=8. 2≠4.

So this function is not the relevant.

c) f(x)= 2×
`4^x.`

Substitute (1,8) Substitute (0,2)

8=2×
`4^1`. 2=2×
`4^0`.

8=2×4. 2=2×1.

8=8. 2=2

f(x)= 2×
`4^x` is the relevant function for the given points.