6.8 Chapter summary (EMA5K)

Presentation: 2G2K

  • Characteristics of functions:

    • The given x-value is known as the independent variable, because its value can be chosen freely. The calculated y-value is known as the dependent variable, because its value depends on the x-value.

    • The domain of a function is the set of all x-values for which there exists at most one y-value according to that function. The range is the set of all y-values, which can be obtained using at least one x-value.

    • An asymptote is a straight line, which the graph of a function will approach, but never touch.

  • Special functions and their properties:

    • Linear functions of the form y=ax+q.

    • Parabolic functions of the form y=ax2+q.

    • Hyperbolic functions of the form y=ax+q.

    • Exponential functions of the form y=abx+q.

    • Trigonometric functions of the form

      y=asinθ+q

      y=acosθ+q

      y=atanθ+q