Function notation (advanced)

Function notation (advanced)

Lessons

  • 1.
    Introduction to Function Notation
    If f(x)=5x2x+6 f(x) = 5x^2-x+6 find the following
    a)
    f(){f(\heartsuit)}

    b)
    f(θ){f(\theta)}

    c)
    f(3){f(3)}

    d)
    f(1){f(-1)}

    e)
    f(3x){f(3x)}

    f)
    f(x){f(-x)}

    g)
    f(3x4){f(3x-4)}

    h)
    3f(x){3f(x)}

    i)
    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.}
    a)
    x+5{\sqrt{x}+5}

    b)
    x+5{\sqrt{x+5}}

    c)
    2x3{\sqrt{2x-3}}

    d)
    8x{-8\sqrt{x}}

    e)
    82x3{-8\sqrt{2x-3}}

    f)
    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
    a)
    f(3){f(3)}

    b)
    f(0){f(0)}

    c)
    f(5){f(-5)}

    d)
    f(x)=5,x=?{f(x)=5,x=?}

    e)
    f(x)=1,x=?{f(x)=-1,x=?}

    f)
    f(x)=0,x=?{f(x)=0,x=?}