Piece wise

Question

(1 pt) Use the piecewise function defined below to answer the questions that follow. Enter your answers using interval notation. 

 

f(x)={2x+1      for   x is less than or equal to -2

        8-(x^2+6x) for x is greater than -2

 

  a) The domain of f

f

 is:  . help (intervals) 

 

  b) The range of f

f

 is:  . help (intervals) 

 

  c) The function is increasing on:  . help (intervals) 

 

  d) The function is decreasing on:  . help (intervals) 

 

  e) The function is constant on:  . help (intervals) 

Answer 1

The piecewise-defined function is .

(a)

Domain of the function is .

Domain of the function is .

(b)

Range of the function is .

Range of the function is .

(c)

The function is increasing on , Since it is a straight line.

The function is increasing on , Since it is a parabola opens down.

(d)

The function is decreasing on ,Since it is a parabola.

(e)

The functions are does not constants.