Index Ai Academy
Phase 2 · Math, when you need it · Calculus

Functions and graphs

Read a graph and see how an output depends on an input.

About 25 minutes · Free account required

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Why it matters

A trained model is a function: text in, probabilities out. Its loss is a function of its weights, and training is the search for the lowest point on that function's graph. Marketing is full of functions too: revenue as a function of price, conversions as a function of ad spend. Being able to look at a graph and say "this flattens out", "this has a peak here" is the intuition the next four lessons (derivatives) make precise.

What you'll be able to do

  • Read function notation and evaluate functions on whole arrays of inputs
  • Read a graph: where it rises, falls, flattens and peaks
  • Recognize the shapes that recur in machine learning: line, bowl, S-curve, hinge
  • Find the best input for a function by evaluating many candidates

Before this lesson

Next in this phase: Exponentials and logarithms