QQuestionMathematics
QuestionMathematics
The graph represents $f(x)=[x]+ 3$.
What is $f(- 2,2)$ ?
$\bigcirc- 2$
$\bigcirc 0$
$\bigcirc 1$
$\bigcirc 2$
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Understand the function notation
- $f(x) = [x] + 3$ means the function takes the floor of $x$ and adds 3
- The floor function $[x]$ gives the largest integer less than or equal to $x$
Step 3:: Interpret $f(- 2,2)$
- This notation typically means the function value between $-2$ and $2$
- We need to find the function values for all points in this interval
Step 4:: Calculate function values
- $f(2) = [2] + 3 = 2 + 3 = 5$
- $f(- 1) = [- 1] + 3 = - 1 + 3 = 1$
Step 5:: Analyze the results
- The function values range from 1 to 5 in the interval $[-2,2]$
Final Answer
However, the multiple-choice question suggests selecting a single value. Looking at the given options, the answer is 1. The answer is 1.
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