Math Problem Statement
Given the graph of f(x), find the function values for the provided x-values in problems 18 and 19.
Solution
The problem asks us to determine function values for specific values using the graphs provided in questions 18 and 19.
Analysis of Graph 18:
-
For :
- Locate on the graph. The function value corresponds to the -coordinate at this .
- The point appears to be at , so .
-
For :
- At , find the corresponding -value.
- It appears to be , so .
-
For :
- At , the function appears to intersect the -axis at .
- Thus, .
-
For :
- At , find the corresponding -value.
- The graph shows , so .
Analysis of Graph 19:
-
For :
- Locate . The -value there appears to be around .
- Thus, .
-
For :
- At , the function intersects the -axis around .
- So, .
-
For :
- At , find the corresponding -value.
- It seems to be around , so .
-
For :
- At , find the corresponding -value.
- It appears to be at , so .
Final Answers:
- Graph 18:
- a)
- b)
- c)
- d)
- Graph 19:
- a)
- b)
- c)
- d)
Would you like further details or explanations on any of these values?
Related Questions:
- What is the significance of a function's roots, such as in Graph 18?
- How do you find the maximum or minimum values from a function's graph?
- What is the relationship between a graph's intercepts and its equation?
- How does the slope of a curve change at turning points?
- How can you determine the domain and range from a function's graph?
Tip: When analyzing graphs, always identify key points like intercepts, turning points, and end behaviors to understand the function’s behavior.
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Math Problem Analysis
Mathematical Concepts
Graph Interpretation
Function Values
Coordinates
Formulas
-
Theorems
Graph interpretation of function values at specific points
Suitable Grade Level
Grades 8-10