Question

Which exponential function is represented by the table

Answer 1

for x = 0 ; we have f(x) = 0,5

We can eliminate the first and the last proposal because

f(x) = 0,2(0,5ˣ) ⇒ f(0) = 0,2(0,5⁰) = 0,2 × 1 = 0,2 ≠ 0,5

f(x) = 0,2(0,2ˣ) ⇒ f(0) = 0,2(0,2⁰) = 0,2 × 1 = 0,2 ≠ 0,5

Try for x = 1, we have f(x) = 0,1

f(x) = 0,5(5ˣ) ⇒ f(1) = 0,5 × 5 = 2,5 ≠ 0,1

f(x) = 0,2(0,5ˣ) ⇒ f(1) = 0,2(0,5) = 0,1 ⇒ ok

So the answer is f(x) = 0,2(0,5ˣ)