Question

Which exponential function is represented by the table?

Answer 1

The choice D is correct.

Explanation:

We have given table.

We have to find the function for this table from the given choices.

The choice D is correct.

The function is :

f(x) = 0.8(2ˣ)

When x = -2 ,the value of function is:

f(-2) = 0.8(2⁻²) = 0.2

When x = -1 , the value of function is :

f(-1) = 0.8(2⁻¹) = 0.4

When x = 0, the value of function is :

f(0) = 0.8(2⁰) = 0.8

When x = 1 , the value of function is:

f(1) = 0.8(2¹) = 1.6

When x = 2, the value of function is:

f(2) = 0.8(2²) = 3.2

f(x) = 0.8(2ˣ) is the function for this table

Answer 2

The answer is f(x) = 0.8(2^x)

Explanation:

∵ f(x) = 0.8(2^x)

∵ x = -2 ⇒ ∴ f(-2) = 0.8(2^(-2)) = 0.2

∵ x = -1 ⇒ ∴ f(-1) = 0.8(2^(-1)) = 0.4

∵ x = 0 ⇒ ∴ f(0) = 0.8(2^(0)) = 0.8

∵ x = 1 ⇒ ∴ f(1) = 0.8(2^(1)) = 1.6

∵ x = 2 ⇒ ∴ f(2) = 0.8(2^(2)) = 3.2

∴ The answer is f(x) = 0.8(2^x) ⇒ The fourth answer