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Linear Functions are of the form y=mx+c. This results in a straight line. Adjacent is the graphical representation of f(x)=0.5x−2 Type: One-to-One function Domain: Set of all real numbers Range: Set of all real numbers |
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Quadratic Functions have a U-shaped or an inverted-U shaped curve, as discussed in the Quadratic Equations lesson Adjacent is the graphical representation of f(x)=x2−4 Type: Many-to-One function Domain: Set of all real numbers Range: Set of all real numbers greater than or equal to −4 |
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In Cubic Functions, the highest power of the polynomial is 3. Adjacent is the graphical representation of f(x)=x3 Type: One-to-One function Domain: Set of all real numbers Range: Set of all real number |
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In Bi-quadratic Functions, the highest power of the polynomial is 4. Adjacent is the graphical representation of f(x)=x4 Type: Many-to-One function Domain: Set of Real numbers Range: Set of real numbers greater than or equal to −1. |
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Rational Functions are those where the numerator and denominator contain a polynomial. The function is not defined when the denominator equals zero. Adjacent is the graphical representation of f(x)=x−12 Type: One-to-One function Domain: Set of real numbers other than +1. Range: Set of real numbers other than 0. |
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The Modulus Function of a number provides the non-negative value of the number. To define it as a function, f(x)=∣x∣=x if x ≥0 =−x if x<0 The above function is represented as f(x)=∣x∣ Type: Many-to-One function Domain: Set of all real numbers Range: Set of all non-negative real numbers |
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