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Exploring Fundamental Functions and Their Graphical Representations

\( y=|x| \) absolute_value_graph
\( y=x \) line_graph
\( y=x^2 \) quadratic_graph
\( y=x^3 \) cubic_graph
\( y=a^x \) and \( y=-a^x \) exponential_graph
\( y=a^x \) and \( y=a^{-x} \) exponential_inverse_graph
\( y=e^x \) exponential_e_graph
\( \sqrt{x} \) square_root_graph
\( \sqrt[3]{x} \) cubic_root_graph
\( y=lnx \) natural_logarithm_graph
\( y=sinx \) sine_graph
\( y=cosx \) cosine_graph
\( y=tgx \) tangent_graph
\( y=ctgx \) cotangent_graph