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Determine the roots of f(x)=−13−20x+19x²−3x³ graphically. In addition, determine the first root of the function with

User Mychar
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Final answer:

To determine the roots of f(x) = -13 - 20x + 19x² - 3x³ graphically, plot the function and identify the x-coordinates where it crosses the x-axis. The first root can be estimated by looking at the point where the function crosses the x-axis from the left side.

Step-by-step explanation:

To determine the roots of the function f(x) = -13 - 20x + 19x² - 3x³ graphically, you can plot the function on a graph and identify the x-coordinates where the function crosses the x-axis. These x-coordinates correspond to the roots of the function. The first root of the function can be found by estimating the x-coordinate of the point where the function crosses the x-axis for the first time from left to right.

Here are the steps to determine the roots and the first root:

  1. Plot the function on a graph.
  2. Identify the x-intercepts, which are the points where the function crosses the x-axis.
  3. The x-coordinates of the x-intercepts are the roots of the function.
  4. To find the first root, estimate the x-coordinate of the point where the function crosses the x-axis from the left side.
User Thibault
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