Summary (Grade 10 NSC Matric Mathematics): Flashcards

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Function definition

Mathematical relationship connecting x (input) to y (output)

Independent variable

Input value (x) that can be chosen freely

Dependent variable

Output value (y) that depends on the input x

Domain of a function

All possible x-values (inputs) for the function

Range of a function

All possible y-values the function can produce

Asymptote

Line a function approaches but never touches or crosses

Linear function form

y=ax+qy = ax + q where a = gradient, q = y-intercept

Parabolic function form

y=ax2+qy = ax^2 + q creates U-shaped parabola curves

Hyperbolic function form

y=ax+qy = \frac{a}{x} + q undefined at x=0, has asymptotes

Exponential function form

y=abx+qy = ab^x + q shows rapid growth or decay

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