Answer:
The graph that shows a line that connects the coordinates (-5, 6) , (2, 5) and (11, 2) is graph C (in the upper part of the image uploaded)
Explanation:
Given the function y = - ∛ x - 3 + 4, let's find the correct graph:
1. What is the value of y if x = - 5?
y = - ∛ x - 3 + 4
y = - ∛ -5 - 3 + 4
y = - ∛ -8 + 4
y = 2 + 4 = 6
2. What is the value of y if x = 2?
y = - ∛ x - 3 + 4
y = - ∛ 2 - 3 + 4
y = - ∛ -1 + 4
y = 1 + 4 = 5
3. What is the value of y if x = 11?
y = - ∛ x - 3 + 4
y = - ∛ 11 - 3 + 4
y = - ∛ 8 + 4
y =- 2 + 4 = 2
The graph that shows a line that connects the coordinates (-5, 6) , (2, 5) and (11, 2) is graph C (in the upper part of the image uploaded)
On graph C, we confirm two important facts:
A. For any given value of x, y remains positive.
B. The value of y is decreasing at the same time that the value of x is increasing.