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    Algebrai Page2

    Uploaded by

    Harsh Gupta
    The document presents graphs of common functions including: the identity function, absolute value function, squaring function, cubing function, step function, exponential functions, logarithmic function, functions with y-axis symmetry, x-axis symmetry, and origin symmetry. It also includes equations for the quadratic formula, distance formula, systems of inequalities, circles, ellipses, and hyperbolas.

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    Attribution Non-Commercial (BY-NC)
    Download as PDF, TXT or read online from Scribd

    Algebrai Page2

    Uploaded by

    Harsh Gupta
    16 views1 page
    The document presents graphs of common functions including: the identity function, absolute value function, squaring function, cubing function, step function, exponential functions, logarithmic function, functions with y-axis symmetry, x-axis symmetry, and origin symmetry. It also includes equations for the quadratic formula, distance formula, systems of inequalities, circles, ellipses, and hyperbolas.

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    Original Title

    ALGEBRAI_PAGE2

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    The document presents graphs of common functions including: the identity function, absolute value function, squaring function, cubing function, step function, exponential functions, logarithmic function, functions with y-axis symmetry, x-axis symmetry, and origin symmetry. It also includes equations for the quadratic formula, distance formula, systems of inequalities, circles, ellipses, and hyperbolas.

    Copyright:

    Attribution Non-Commercial (BY-NC)
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    16 views1 page

    Algebrai Page2

    Uploaded by

    Harsh Gupta
    The document presents graphs of common functions including: the identity function, absolute value function, squaring function, cubing function, step function, exponential functions, logarithmic function, functions with y-axis symmetry, x-axis symmetry, and origin symmetry. It also includes equations for the quadratic formula, distance formula, systems of inequalities, circles, ellipses, and hyperbolas.

    Copyright:

    Attribution Non-Commercial (BY-NC)
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 1

    f(x) = x f(x) = |x|

    Graphs of
    Common
    Functions
    Identity Function Absolute Value Function

    f(x) = x2 f(x) = x3 f(x) = [x]

    Squaring Function (Parabola) Cubing Function Step Function

    f(x) = ax f(x) = a-x f(x) = logax

    Exponential Function (a>1) Exponential Function (a>1) Logarithmic Function (a>1)

    x = y2 f(x) = x2 - 1 f(x) = x1/3

    y-Axis Symmetry x-Axis Symmetry Origin Symmetry

    f(x) ≥x and f(x) ≥ -3x Quadratic Formula Distance Formula

    2
    D = (y2 -y1)2 + (x2 -x1)2
    -b " b -4ac
    x=
    2a
    System of Inequalities
    (x-h)2 + (y-k)2 = r2
    (x-h)2 (y-k)2 (y- k)2 (x- h)2
    + =1 - =1
    a2 b2 a2 b2

    Circle
    Ellipse Hyperbola

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