15
QuizMultiple Choice

Mathematical Modeling — Test

Question 15 • Algebra 2 with Probability

In the function y is equal to lfloor x rfloor minus 1 , which values of the function are equivalent?

Answer
A
f of 2 and f of 1 point 9
B
f of negative 3 and f of negative 2 point 1
C
f of 1 and f of 0
D
f of negative 1 and f of negative 2

Explanation

The function is f(x) = ⌊x⌋ − 1, where ⌊x⌋ is the greatest integer less than or equal to x. For x = −3, f(−3) = −3 − 1 = −4; for x = −2.1, f(−2.1) = −3 − 1 = −4. So f of negative 3 and f of negative 2.1 have equal values.

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