Summary (Grade 12 NSC Matric Mathematics): Quizzes

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What defines a function?

Each input gives exactly one output

What does the vertical line test determine?

Whether a graph represents a function

What does an inverse function f−1(x)f^{-1}(x) do?

Undoes what the original function does

What is the first step to find the inverse of a function?

Replace every xx with yy and vice versa

How are a function and its inverse related graphically?

Reflections about the line y=xy = x

What happens to domain and range between a function and its inverse?

They swap places

What is the inverse of an exponential function y=bxy = b^x?

y=log⁡bxy = \log_b x

What base does the common logarithm log⁡x\log x use?

Base 10

What does the product law of logarithms state?

log⁡axy=log⁡ax+log⁡ay\log_a xy = \log_a x + \log_a y

Which function's inverse is NOT a function without domain restriction?

Quadratic function y=ax2y = ax^2

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