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Square Root Functions

This topic deals with the square-root functions. We learn to find the domain of square-root functions. We also learn to graph the square-root functions.

Topic: Evaluate Square-Root Function

  • A square-root function is a function whose rule contains a variable under a square root sign. For example, y = √x, y = √(2x + 1)

Topic: Domain of Square-Root Functions

  • The domain (x-values) of a square root function is restricted to numbers that make the value under the radical sign greater than or equal to 0

  • For example, domain of the function y = √(x + 1) is x + 1 ≥ 0

Topic: Graph Square-Root Functions

  • To graph the square-root function, follow these steps:
    Step 1: Find the domain of the function
    Step 2: Choose x-values greater than or equal to the domain (x-values) and generate ordered pairs
    Step 3: Plot the points and connect them with a smooth curve

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