The graph of y = f(x) is shown below. What are all of the real
solutions of f(x) = o?
Answer:
The graph of y = f(x) is shown below. To find all the real solutions of f(x) = 0, we need to identify the x-values where the graph intersects the x-axis.
1. Look for the points where the graph crosses the x-axis. These points represent the x-values where f(x) = 0.
2. Identify the x-values at which the graph intersects the x-axis. These points are called the x-intercepts or zeros of the function.
3. In the given graph, locate the points where the graph touches or crosses the x-axis.
4. Take note of the x-values of these points.
5. The x-values at which the graph intersects the x-axis are the real solutions of f(x) = 0.
Example:
Let's say we have a graph where the function f(x) = (x - 1)(x + 2)(x - 4). In this case, the graph will cross the x-axis at x = 1, x = -2, and x = 4. These are the real solutions of f(x) = 0.
Remember to always check the graph and identify the x-values where the graph intersects the x-axis to find the real solutions of f(x) = 0.
Step-by-step explanation: