Questions: Graph the following f(x)=5+[x]

Transcript text: Graph the following \[ f(x)=5+\llbracket x \rrbracket \]

Solution

Solution Steps

Step 1: Define the function

The given function is $ f(x) = 5 + \llbracket x \rrbracket $, where $ \llbracket x \rrbracket $ represents the floor function, which returns the greatest integer less than or equal to $ x $.

Step 2: Determine the range for the plot

To plot the function, we need to determine a suitable range for $ x $. Let's choose $ x $ to range from -10 to 10.

Step 3: Write the function in a suitable format

For the graph function, we need to express the function without LaTeX syntax. The floor function can be represented as floor(x).

Final Answer

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -5, "ymax": 15}, "commands": ["y = 5 + floor(x)"], "latex_expressions": ["$f(x) = 5 + \\lfloor x \\rfloor$"]}

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