Domain and Range

• Domain is the values you can input into the function (x values).
• Range is the values that come out of the function (y values).
• To work out domain from range:

  1. substitute the lower value in for y
  2. substitute the upper value in for y
  3. step 1 will give the lower value for the domain
  4. step 2 will give the upper value for the domain
• To work out range from domain:

  1. substitute the lower value in for x
  2. substitute the upper value in for x
  3. step 1 will give the lower value for the range
  4. step 2 will give the upper value for the range
• 27<f(x)<123

  
• It will give a negative value under the square root which would be undefined so x would have to be greater than or equal to 4

  
• -5<x<2

  
• (4,1) minima

  (2,5) maxima

  -15<f(x)<5