The graph of the cubic equation, f(x) = x³ - 10x² + 16x, is shown below
Graph of Cubic equation
From the question, we are to determine graph of the given cubic equation.
The given cubic function is
f(x) = x³ - 10x² + 16x
To graph the equation, we will determine the value of f(x) for certain values of x
When x = 0
f(x) = x³ - 10x² + 16x
f(x) = (0)³ - 10(0)² + 16(0)
f(x) = 0
When x = 2
f(x) = x³ - 10x² + 16x
f(x) = (2)³ - 10(2)² + 16(2)
f(x) = 0
When x = 5
f(x) = x³ - 10x² + 16x
f(x) = (5)³ - 10(5)² + 16(5)
f(x) = -45
When x = 8
f(x) = x³ - 10x² + 16x
f(x) = (8)³ - 10(8)² + 16(8)
f(x) = 0
When x = 10
f(x) = x³ - 10x² + 16x
f(x) = (10)³ - 10(10)² + 16(10)
f(x) = 160
Using the determined points above, the graph of the cubic equation is shown below
Learn more on Graph of cubic equations here: https://brainly.com/question/19707244
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