The key features of a linear parent function are its equation, domain, and range, which define its fundamental characteristics as the simplest form of a linear relationship.
Here's a breakdown of the key features:
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Equation: The equation of the linear parent function is y = x. This means that for any input x, the output y is the same value.
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Domain: The domain of the linear parent function is all real numbers. This implies that you can input any real number for x, and the function will produce a corresponding output.
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Range: Similarly, the range of the linear parent function is also all real numbers. This indicates that the output y can be any real number.
In summary, the linear parent function, y = x, is characterized by having a domain and range encompassing all real numbers, representing a fundamental linear relationship with a slope of 1 and a y-intercept of 0.
