Piecewise Function Calculator

How to Use the Piecewise Function Calculator

Step 1: Accessing the Calculator

Begin by ensuring you have access to the Piecewise Function Calculator interface where you can enter your inputs and view results. The calculator will have a set of input fields and result displays based on the JSON structure provided.

Step 2: Entering the x Value

• Locate the input field labeled Enter x value.
• Input a numerical value in the text box. Ensure it is a valid number, as this field is mandatory. Follow any placeholder hints for proper formatting.

Step 3: Selecting the Function Type

• Find the dropdown menu labeled Select Function Type.
• Choose from the following options, each representing a different piecewise function:
  • Basic: Corresponds to x ≤ 0: -x, x > 0: x.
  • Quadratic: Corresponds to x < 0: x², x ≥ 0: 2x.
  • Absolute: Corresponds to x 1: 1.
  • Trigonometric: Corresponds to x < 0: sin(x), x ≥ 0: cos(x).
• This selection is required for the calculation to proceed.

Step 4: Reviewing the Result

• Once you have entered the x value and selected a function type, the calculator processes your input according to the selected piecewise function logic.
• The calculated result will be displayed in the appropriate result field, formatted to three decimal places. Look for the result label that matches your selected function type:
  • Basic Function Result: Displays for ‘Basic’ function type.
  • Quadratic Function Result: Displays for ‘Quadratic’ function type.
  • Absolute Function Result: Displays for ‘Absolute’ function type.
  • Trigonometric Function Result: Displays for ‘Trigonometric’ function type.

Step 5: Interpretation and Usage

Use the computed result for your analysis or calculations as needed. The result fields clearly indicate which piecewise function was applied, aiding in contextual understanding and further usage. If required, feel free to adjust the x value or function type and observe how the results change accordingly.