Function ANALYSIS

Function ANALYSIS

1. DOMAIN

   • All possible X-Values --> Function works
   • Look X-Values

2. RANGE

   • All possible Y-Values we get
   • Look Y-Values

3. EXTREMA

   • MAXIMA or MINIMA ?
     • MAXIMA The LARGEST values of the function
     • MINIMA The SMALLEST values of the function
   • LOCAL or GLOBAL (relative)?
     • LOCAL From a range of domain
     • GLOBAL On the entire domain

4. CONTINUITY

   • CONTINUOUS functions
     • NO GAPS in the curve
       • We would never need to take the pencil off the paper
   • DISCONTINUOUS functions
     • GAPS in the curve
       • We need to take the pencil off the paper

5. INCREASING / DECREASING intervals

   • From the left to the right
     • INCREASING If as X increases, Y also increases
       • The graph goes UP
     • DECREASING If as X increases, Y decreases
       • The graph goes DOWN

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