Find h(4). Select the correct choice and, if necessary, fill in the answer box to complete your choice.
Understand the Problem
The question is asking to find the value of the function h at x=4 based on a provided graph. It requires determining whether h(4) exists or is undefined.
Answer
$h(4)$ is undefined.
Answer for screen readers
$h(4)$ is undefined.
Steps to Solve
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Identify the Value of x Determine the value of ( x ) we need to evaluate, which in this case is ( x = 4 ).
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Locate ( x = 4 ) on the Graph Look at the graph of the function ( h(x) ) and find the point where ( x = 4 ).
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Check for Defined Value Examine whether there is a corresponding ( y )-value (h(4)) at ( x = 4 ).
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Determine Existence If there is a visible point on the graph at ( x = 4 ), then ( h(4) ) exists and note its ( y )-value. If not, we conclude that ( h(4) ) is undefined.
$h(4)$ is undefined.
More Information
In this case, the function does not have a point or value at ( x = 4 ) on the graph, which indicates that the function ( h(x) ) does not exist at that point.
Tips
- A common mistake is to assume there's a ( y )-value at ( x = 4 \ simply by looking at a nearby point. Always check directly at ( x = 4 ) to see if it exists.
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