Function notation (advanced)

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  1. Introduction to Function Notation
    If f(x)=5x2x+6 f(x) = 5x^2-x+6 find the following
    1. f(){f(\heartsuit)}
    2. f(θ){f(\theta)}
    3. f(3){f(3)}
    4. f(1){f(-1)}
    5. f(3x){f(3x)}
    6. f(x){f(-x)}
    7. f(3x4){f(3x-4)}
    8. 3f(x){3f(x)}
    9. f(x)3{f(x)-3}
  2. Express a Function as f(f(
    ) )

    If f(x)=x,{f(x) = \sqrt{x},} write the following in terms of the function f.{f.}
    1. x+5{\sqrt{x}+5}
    2. x+5{\sqrt{x+5}}
    3. 2x3{\sqrt{2x-3}}
    4. 8x{-8\sqrt{x}}
    5. 82x3{-8\sqrt{2x-3}}
    6. 4x5+914\sqrt{x^{5}+9}-1
  3. Find the Value of a Function from Its Graph
    Find the value of the following from the given graph
    function notation example
    1. f(3){f(3)}
    2. f(0){f(0)}
    3. f(5){f(-5)}
    4. f(x)=5,x=?{f(x)=5,x=?}
    5. f(x)=1,x=?{f(x)=-1,x=?}
    6. f(x)=0,x=?{f(x)=0,x=?}