Math Problem Statement
For what values of the argument is the function y=f(x) positive?
Write the answer as a range (eg 1;10) without spaces.
For what values of the argument is the function y=f(x) positive?
Solution
To determine the range of values where the function is positive, we need to identify the intervals on the x-axis where the graph of the function is above the x-axis (i.e., where ).
Upon examining the graph:
- The function is positive between the points where the graph crosses the x-axis.
- The graph crosses the x-axis at and .
Therefore, the function is positive between and .
Answer:
The function is positive in the range .
Do you want details or have any questions?
Here are 5 related questions:
- How would the answer change if the graph crossed the x-axis at more points?
- What would the range be if the function was negative instead of positive?
- Can you identify any local maxima or minima on the graph?
- How do you determine the exact points where the graph intersects the x-axis?
- What is the significance of the points where the function crosses the x-axis?
Tip: When analyzing the positivity of a function, focus on where the graph is above the x-axis.
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Math Problem Analysis
Mathematical Concepts
Graph Analysis
Functions
Inequalities
Formulas
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Theorems
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Suitable Grade Level
Grades 9-10