Question

Choose all of the equations below which are reciprocal functions.

y=x squared y=1/x+4 y=7/x y=2/x+5 y=x/8 y=3x+1

Answer 1

Reciprocal functions have a general form of:

• 
  `y= \cfrac{a}{x-h} +k`, where a, h and k are constants

Let's see which of the given functions follow same form:

• 
  `y= \cfrac{1}{x+4}` a = 1, h = - 4, k = 0
• 
  `y= \cfrac{7}{x}` a = 7, h = 0, k = 0

• 
  `y= \cfrac{2}{x} +5` a = 2, h = 0, k = 5

All the other functions are either linear or quadratic functions.