Introduction to Functions and Graphs

🎬 Video Tutorial

  • (0:01) What is a Function?: A function maps each input to exactly one output, often written as $f(x) = \text{expression}$ (e.g., $f(x) = 2x + 1$).
  • (1:14) Function Table and Graph: Create a table of input-output pairs (e.g., $f(1) = 3$, $f(2) = 5$) to visualise the function on a graph, making it easier to interpret.
  • (1:31) Unique Outputs for Each Input: A function cannot have the same x-value paired with different y-values.
  • (2:17) Finding Function Values from Graphs: To find $f(a)$, locate $x = a$ on the graph and read the corresponding y-value.

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