Since the leading coefficient of the function is 1 which is > 0, its end behavior is: Step 5: Find the end behavior of the function.Step 4: Find the corresponding y-coordinate(s) of the critical points by substituting each of them in the given function.Step 3: Find the critical point(s) by setting f'(x) = 0.We already found that the y-intercept of f(x) = x 3 - 4x 2 + x - 4 is (0, -4). We already found that the x-intercept of f(x) = x 3 - 4x 2 + x - 4 is (4, 0). The steps are explained with an example where we are going to graph the cubic function f(x) = x 3 - 4x 2 + x - 4. Here are the steps to graph a cubic function. Thus, the cubic function f(x) = ax 3 + bx 2 + cx + d has inflection point at (-b/3a, f(-b/3a)). To find the critical points of a cubic function f(x) = ax 3 + bx 2 + cx + d, we set the second derivative to zero and solve. The inflection points of a function are the points where the function changes from either "concave up to concave down" or "concave down to concave up".
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