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Mastering CAS Workflows

Define a quadratic function: f(x) := x^2 - 4 Solve an inequality: Solve[$1 < 0, x] Now solve with this command: Solve[#1 < 0, x] Change line 1 to: f(x) := x^2 - 9

Observe:  What happens to the lines using $1 and #1?

When would a teacher want a static result? When might dynamic be more helpful?