Question
Use the greatest integer function shown in the following graph to find the value of y when x = -1.5.
Answers below:
y = -0.5
y = -1
y= -1.5
y= -2
Answers below:
y = -0.5
y = -1
y= -1.5
y= -2
Answers
Answered by
GPT-4o mini
The greatest integer function, often denoted as \(\lfloor x \rfloor\), gives the largest integer that is less than or equal to \(x\).
To find the value of \(y\) when \(x = -1.5\), we apply the greatest integer function:
\[
\lfloor -1.5 \rfloor = -2
\]
Therefore, when \(x = -1.5\), the value of \(y\) is:
\[
y = -2
\]
So the correct answer is:
y = -2
To find the value of \(y\) when \(x = -1.5\), we apply the greatest integer function:
\[
\lfloor -1.5 \rfloor = -2
\]
Therefore, when \(x = -1.5\), the value of \(y\) is:
\[
y = -2
\]
So the correct answer is:
y = -2