Question 11.73

11.73 Quadratic models.

Sketch each of the following quadratic equations for values of between 0 and 5. Then describe the relationship between and in your own words.

  1. .
  2. .
  3. .
  4. .

11.73

(a) The relationship is curved; as increases, also increases, but at larger values of , increases more rapidly. (b) The relationship is curved; as increases, decreases at first but then starts to increase slowly, but at larger values of , increases more rapidly. (c) The relationship is curved; as increases, increases at first but then starts to decrease slowly, but at larger values of , decreases more rapidly. (d) The relationship is curved; as increases, decreases, but at larger values of , decreases more rapidly.