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 for which , we need to look at the portions of the graph where the function 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:
- 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 is negative.
- Determine Exact Points: Note the exact x-values at which the graph crosses the x-axis. These points are where . The intervals of interest lie between these points.
- Write the Interval Notation: Express the intervals where using proper interval notation. If the graph crosses the x-axis at points and and the function is negative between these points, then the interval would be .
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
- What are the coordinates of the points where the graph intersects the x-axis?
- Can you describe the general shape of the graph (e.g., linear, quadratic, cubic)?
- Are there multiple intervals where the graph is below the x-axis?
- Does the graph have any symmetry that could simplify the problem?
- What are the values of 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
Related Recommendation
Graph Interpretation: Solving for f(x) and Identifying x-Intercepts
Analyzing Intervals Where f(x) ≤ 0 on a Function Graph
Finding x-Intercepts and Solving Inequalities from Graphs
Graph Analysis: Finding Intercepts, Domain, and Range for a Function
Solving Inequalities Using Function Graphs: f(x) < 0 and f(x) > 0