Presentation on theme: "My Function Family Album"— Presentation transcript:
1My Function Family Album By:Algebra IIMay 20, 20097th pd.
2Linear 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
3Linear Functions (contd.) Another liner function of Jesse is her inequality children.Its domain and range are all real numbersInequality of a Linear Function
4Absolute Value Functions Parent FunctionParent 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.
5Absolute Value Functions (contd.) An example of a absolute function is f(x)=|-2x|-2Its 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|-3It has a domain and range of a real numbers to.Inequality of aAbsolute Value Function
6Quadratic 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=ax²y=ax² +cand y=ax² +bx+cHe also has a domain of all real numbers and a range of all real numbers except non-positive numbersParent Function
7Quadratic Functions (contd.) Here’s an example of Mr. Quadratic on a power up levelIt 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 -4x²-2It has a domain of all real numbers and a range of all non-positive numbersInequality of aQuadratic Function
8Polynomial 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-5x²-3Inequality of aPolynomial Function
9Square Root FunctionParent 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 0There range is y is greater than or equal to 0.Parent Function of aSquare Root Function
10Square 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 -1There range is y is greater than or equal to 0The inequality for the Square’s is √X-4+3There domain is all real numbers and there range is y is greater than or equal to 2.Inequality of aSquare Root Function
11Cube 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 aCube Root
12Cube Root Functions Cube Root Function Her children are a simple replica of her with slight changes, for example ³√x-5She has a domain and rage of all real numbers just like her mom.Her grandchildren or inequalities just like this one ³√x-1)+1Its domain and range is the same as its mother all real numbersInequality of aCube Root Function
13Rational 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/xY=a/x-h+4Y=ax+b/cx+dHer domain and range all real numbers except 0.Parent Function of aRational Function
14Rational 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 aRational Function