Determine the range and domain of the following

Question

F(x) = 3x-1
F(x) = x² - 4x - 1

F(x) = 2x -1 

 

Answer 1

F(x) = 3x-1 is a line with slope 3

 

   Domain = (-∞, ∞)     Range = (-∞,∞)

 

F(x) = 2x-1 is a line with slope 2

 

   Domain = (-∞, ∞)     Range = (-∞, ∞)

 

F(x) = x² - 4x - 1 = (x² - 4x + 4) - 5

 

                          = (x-2)² - 5

 

    The graph is a parabola opening upward with vertex (lowest point) (2,-5).

 

    Domain = (-∞, ∞)      Range = [-5, ∞)

 

Answer 2

F(x) = 3x-1
F(x) = x² - 4x - 1
F(x) = 2x -1

 

for all functions  domain and range is all real numbers