Use the graph of h in the given figure to find the following values: (a) h(4). Select the correct choice and fill in the answer box to complete your choice.
Understand the Problem
The question is asking to analyze a graph of the function h and find specific values or limits at certain points (4, 7, and 8). Part (a) specifically requests to find the value of h(4) and advises to select between two options: providing a numerical answer or stating that it is undefined.
Answer
The answer varies based on the graph's depiction at \( x = 4 \).
Answer for screen readers
The answer depends on the visual information from the graph at ( x = 4 ). It could be a numerical value or stated as undefined.
Steps to Solve
- Identify h(4) from the graph
Look at the given graph of the function ( h ). Locate the point where ( x = 4 ) on the x-axis. Check the corresponding value of ( h(4) ) on the y-axis.
- Determine the value or if it's undefined
Based on the graph, if there is a point or y-value marked at ( x = 4 ), write that value in the box. If there's no defined value at that point (e.g., a hole or vertical asymptote), conclude that ( h(4) ) is undefined.
- Select the correct answer choice
Choose option A to fill in the value if it exists, or choose option B if ( h(4) ) is determined to be undefined.
The answer depends on the visual information from the graph at ( x = 4 ). It could be a numerical value or stated as undefined.
More Information
The value of ( h(4) ) will be specific to the graph's depiction. Understanding the difference between defined values and undefined situations (like holes or discontinuities) is essential in analyzing piecewise functions.
Tips
Common mistakes include:
- Misreading the graph and selecting an incorrect y-value for ( x = 4 ).
- Confusing places where the function is undefined (like holes) with places where it's defined.
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