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**My Function Family Album**

By: Algebra II May 20, 2009 7th pd.

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**Linear Functions Parent Function**

Parent Function of a liner function (Jesse). Jesse is the function to all linear functions . She's the base to their life. She has a domain and range of all real numbers. One of the many children of Jesse is f(x) = -x-2. Its domain and range is all real numbers to. Linear Function

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**Linear Functions (contd.)**

Another liner function of Jesse is her inequality children. Its domain and range are all real numbers Inequality of a Linear Function

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**Absolute Value Functions**

Parent Function Parent Function of an Absolute Value Function (Martha). She makes the shape of a V and has brackets around her to contain her absoluteness. Her domain is all real numbers and her range is all real numbers except non-positive numbers.

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**Absolute Value Functions (contd.)**

An example of a absolute function is f(x)=|-2x|-2 Its domain and range is all real numbers. An inequality of an absolute value is the function of x is less than or equal to |x+4|-3 It has a domain and range of a real numbers to. Inequality of a Absolute Value Function

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**Quadratic Functions Parent Function**

The Parent Function of a Quadratic Function (Mr. Quadratic) Mr. Quadratic is a function who has a ² on him . He has many different ways of writing him and they are his power up levels: y=ax² y=ax² +c and y=ax² +bx+c He also has a domain of all real numbers and a range of all real numbers except non-positive numbers Parent Function

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**Quadratic Functions (contd.)**

Here’s an example of Mr. Quadratic on a power up level It has a domain of all real numbers and a range of all positive numbers. Mr. Quadratic's sidekicks are the inequalities of him here’s an example of one y is greater than or equal to -4x²-2 It has a domain of all real numbers and a range of all non-positive numbers Inequality of a Quadratic Function

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**Polynomial Function Polynomial Function**

Unfortunately the polynomial function doesn't have a parent function because it’s a such a dysfunctional family. But fortunately it has it own degree which is quartic. Its domain and range is all real numbers. Its inequality is x-5x²-3 Inequality of a Polynomial Function

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Square Root Function Parent Function of Square Root Function (Mr. and Mrs. Square) They make semi straight lines and have the square root symbol within them (√) . There domain is x is greater than or equal to 0 There range is y is greater than or equal to 0. Parent Function of a Square Root Function

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**Square Root Functions (contd.)**

There Children are kind of tricky they like to add stuff for example they added a 2 on the outside and a plus one to the inside. There domain is x is greater than or equal to -1 There range is y is greater than or equal to 0 The inequality for the Square’s is √X-4+3 There domain is all real numbers and there range is y is greater than or equal to 2. Inequality of a Square Root Function

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**Cube Root Functions The Cube Root Parent Function (Mrs. Smith).**

Mrs. Smith is a cube who has a ³ on her. Her domain and range is all real numbers. Parent Function of a Cube Root

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**Cube Root Functions Cube Root Function**

Her children are a simple replica of her with slight changes, for example ³√x-5 She has a domain and rage of all real numbers just like her mom. Her grandchildren or inequalities just like this one ³√x-1)+1 Its domain and range is the same as its mother all real numbers Inequality of a Cube Root Function

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**Rational Functions Parent Function of a Rational Function (Molly).**

Molly is the function you want when you want a rational answer. You can write her in three different ways: Y=a/x Y=a/x-h+4 Y=ax+b/cx+d Her domain and range all real numbers except 0. Parent Function of a Rational Function

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**Rational Functions (contd.)**

An example of Molly’s rational function is f(x)= -4/x. Its domain and range is all real numbers except 0. An inequality of this function is function of x is less than 4 over x plus three. It has a domain and range of all real numbers except 0. Inequality of a Rational Function

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