Respuesta :
Answer:
y = ㏒₃ x
Step-by-step explanation:
Given: the points (0.33, -1), (1, 0), and (3, 1)
We will check which function goes through the previous points
we will use the point (3,1)
1) y = ㏒₀.₄ x
㏒₀.₄ x = ㏒₀.₄ 3 = -1.199 ≠ 1
2) y = ㏒₁ x
㏒₁ x = ㏒₁ 3 ⇒ unlogic condition
3) y = ㏒₃ x
㏒₃ x = ㏒₃ 3 = 1
4) y = ㏒₁₀ x
㏒₁₀ x = ㏒₁₀ 3 = 0.477 ≠ 1
So, from the previous explanation:
The function is y = ㏒₃ x
Another solution;
by drawing the four function we will find which function goes through the points (0.33, -1), (1, 0), and (3, 1)
See the attached figure.
So, the answer is y = ㏒₃ x
