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