Asked by Nissan GT-R R35
Label each parent function with its name: 1: f (x) = x 2: f (x) = 2^x 3: f (x) = x^2
Answers: Quadratic function, exponential function, linear function.
Explain the meaning of parent function and function family in 2-3 sentences.
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1. f(x) = x — linear function
2. f(x) = 2^x — exponential function
3. f(x) = x^2 — quadratic function
A parent function is the simplest, most basic form of a type of function that shows its characteristic shape (no shifts, stretches, or reflections). A function family is the set of all functions that share that basic form and can be obtained from the parent by transformations such as translations, dilations, and reflections.
1. f(x) = x — linear function
2. f(x) = 2^x — exponential function
3. f(x) = x^2 — quadratic function
A parent function is the simplest, most basic form of a type of function that shows its characteristic shape (no shifts, stretches, or reflections). A function family is the set of all functions that share that basic form and can be obtained from the parent by transformations such as translations, dilations, and reflections.
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