Complete options are attached.
Answer:
Option D: y = (∛x + 3) + 3
Explanation:
To solve this, let's plug in some values into each of the options given.
From the graph, we can see that when x = 0, y ≈ 4.45.
Thus,let's plug in 0 for x into each of the options;
A) y = (√x - 3) + 3
Put 0 for x into the equation.
y = (√0 - 3) + 3
y = (√-3) + 3
Thus will give us a complex root. Thus, it is not the correct answer.
B) y = (√x + 3) + 3
Put 0 for x into the equation.
y = (√0 + 3) + 3
y = (√3) + 3
y = 1.732 + 3
y = 4.732
Thus,this function is not the correct answer.
C) y = (∛x - 3) + 3
Put 0 for x into the equation
y = (∛0 - 3) + 3
y = (∛-3) + 3
y = -1 + 3
y = 2
y is not equal to 4.45 and thus the function is not correct
D) y = (∛x + 3) + 3
Put 0 for x into the equation
y = (∛0 + 3) + 3
y = (∛3) + 3
y = 1.44 + 3
y = 4.44
This is approximately equal to the approximate value of 4.45 on the graph. Thus, it's the correct function.