Domain function help?

Help with domain and range of a function question?

• 1. Let y = f(x) be a function with domain D = [-4, 8] and range R = [-4, 8]. Find the domain D and range R for the function below. Assume f(-4) = 8 and f(8) = -4. y = -2 f(x) 2. Let y = f(x) be a function with domain D = [-5, 8] and range R = [-4, 8]. Find the domain D and range R for the function. Assume f(-5) = 8 and f(8) = -4. y = f(x + 2) − 6 3. Let y = f(x) be a function with domain D = [-1, 7] and range R = [-4, 6]. Find the domain D and range R for the function. Assume f(2) = 6 and f(6) = -4. y=f(-x)

• Answer:

  1. domain does not change , range is " doubled ' to [ -16 , 8 ] #2. subtract ' 2 ' from the domain...[ -7 , 6 ] , subtract ' 6 ' from the range ...[ -10 , 2 ] #3. range is the same , multiply domain by ' -1 '...[ -7 , 1 ]