Math Problem Statement

The graph of y, equals, f, of, xy=f(x) is shown below. Find all values of xx for which f, of, x, is less than, 0f(x)<0

Solution

To find the values of xx for which f(x)<0f(x) < 0, we need to look at the portions of the graph where the function f(x)f(x) lies below the x-axis. This means identifying the intervals on the x-axis where the y-values (outputs of the function) are negative.

Since I cannot see the graph, I cannot provide specific values or intervals. However, I can outline the general steps you would follow to find the solution:

  1. Identify Intervals Below the X-Axis: Look at the graph and locate the sections where the curve is below the x-axis. These intervals correspond to the x-values where f(x)f(x) is negative.
  2. Determine Exact Points: Note the exact x-values at which the graph crosses the x-axis. These points are where f(x)=0f(x) = 0. The intervals of interest lie between these points.
  3. Write the Interval Notation: Express the intervals where f(x)<0f(x) < 0 using proper interval notation. If the graph crosses the x-axis at points x=ax = a and x=bx = b and the function is negative between these points, then the interval would be (a,b)(a, b).

Please share the graph or more specific information about it to give a precise answer.

Do you have any questions or want to provide more details?

Relative Questions

  1. What are the coordinates of the points where the graph intersects the x-axis?
  2. Can you describe the general shape of the graph (e.g., linear, quadratic, cubic)?
  3. Are there multiple intervals where the graph is below the x-axis?
  4. Does the graph have any symmetry that could simplify the problem?
  5. What are the values of f(x)f(x) at specific points of interest on the graph?

Tip

When interpreting graphs, always pay close attention to the x-intercepts, as they mark transitions between positive and negative values of the function.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Graph interpretation
Inequalities
Functions

Formulas

f(x) < 0

Theorems

Sign of function based on graph behavior
Root theorem (f(x) = 0)

Suitable Grade Level

Grades 9-12