Step 1: Understand the notation: The expression is read as 'the limit of as approaches negative infinity is 10.'
Step 2: Conceptualize the behavior: This means that as becomes very large in the negative direction (i.e., goes to negative infinity), the values of the function get closer and closer to 10.
Step 3: Visualize the graph: Imagine the graph of . As you move left along the x-axis towards negative infinity, the y-values (outputs of ) approach the horizontal line .
Step 4: Consider the horizontal asymptote: The line can be considered a horizontal asymptote of the function as . This means the graph of gets closer to this line but may not necessarily touch or cross it.
Step 5: Relate to real-world scenarios: In practical terms, this limit could represent a situation where a quantity stabilizes at a certain value (10 in this case) as time or another variable decreases without bound.
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