Math Problem Statement
Find the indicated functional value for the floor function: f(−0.75) ?
Solution
To find the indicated functional value for the floor function at , we use the definition of the floor function. The floor function, denoted as , returns the greatest integer less than or equal to .
Given :
The greatest integer less than or equal to is .
Thus,
So, the functional value .
Would you like more details or have any questions?
Here are 8 related questions that expand on this information:
- What is the value of the floor function at ?
- How does the floor function behave for positive fractional values?
- What is the ceiling function, and how is it different from the floor function?
- Calculate using the floor function.
- How would you graph the floor function for the range ?
- Can the floor function ever return a non-integer value?
- What is the floor function value of ?
- How does the floor function handle irrational numbers?
Tip: The floor function is especially useful in programming and algorithm design for rounding down to the nearest integer.
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Math Problem Analysis
Mathematical Concepts
Floor function
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9