Question

Which of the following exponential functions represents the graph below

Answer 1

Option (B)

Explanation:

Let the equation of the exponential function give in the graph is,

f(x) = a(b)ˣ

Since the given graph passes through two points (0, 3) and (-1, 1.5)

For (0, 3),

f(0) = a(b)⁰

3 = a(1) [Since b⁰ = 1]

a = 3

For (-1, 1.5),

f(-1) = a(b)⁻¹

1.5 = 3(b)⁻¹

1.5 =
`(3)/(b)`

b =
`(3)/(1.5)`

b = 2

Therefore, equation of the given function will be,

f(x) = 3(2)ˣ

Option (B) will be the answer.