Answer:
D. f(x) = 2x³ - 6x² - 2x + 6
Explanation:
From the graph :
A(0 ,6) and B(1 , 0) are two points of the graph.
Then
Their coordinates must verify its equation.
The only equation that verifies those coordinates is :
f(x) = 2x³ - 6x² - 2x + 6
because :
• f(0) = 2(0)³ - 6(0)² - 2(0) + 6 = 6
• f(1) = 2(1)³ - 6(1)² - 2(1) + 6 = 2 - 6 - 2 + 6 = 0
therefore
The equation of the function of the line is :
f(x) = 2x³ - 6x² - 2x + 6