Question

What is the function?

Answer 1

C

Explanation:

For the exponential function in the form

y = a
`b^(x)`

Use ordered pairs from the table to find a and b

Using (0, 0.5 ), then

0.5 = a
`b^(0)` (
`b^(0)` = 1 ), thus

0.5 = a

y = 0.5
`b^(x)`

Using (1, 1.5 ) , then

1.5 = 0.5
`b^(1)` , hence

b =
`(1.5)/(0.5)` = 3

Thus

f(x) = 0.5
`(3^(x))` → C

Answer 2

C. f(x)= 0.5(3ˣ)

Explanation:

C. f(x)= 0.5(3ˣ) is the function as per table