The graph of a function gives the set of a ordered pair of the function
Pease find attached and included the appearance of the graph and table of values of the given function f(x) = 2·x³ - 7·x² + 2·x + 3
The given function is presented as follows;
f(x) = 2·x³ - 7·x² + 2·x + 3
Required:
To find the graph that represents the given function
Solution:
From the given function, at x = 0, we have;
f(0) = 2 × 0³ - 7×0² + 2×0 + 3 = 3
Therefore, at x = 0, f(x) = 3, and a point on the graph is the point (0, 3)
At x = 1, f(x) = 2 × 1³ - 7×1² + 2×1 + 3 = 0 therefore, a graph point is (1, 0)
At x = 0.5, f(x) = 2 × 0.5³ - 7×0.5² + 2×0.5 + 3 = 2.5 therefore, a graph point is (0.5, 2.5)
With the above function, the following table can be obtained
[tex]\begin{array}{|c|cc|}\mathbf{x}&&\mathbf{y}\\-1&&-8\\-0.5&&0\\0&&3\\0.5&&2.5\\1&&0\\1.5&&-3\\2&&-5\\2.5&&-4.5\\3&&0\\3.5&&10\end{array}\right][/tex]
From the above table of values, the graph of the function can be drawn as shown in the attached diagram created with MS Excel
Learn more about graphing functions here:
https://brainly.com/question/22978861
