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Piece wise

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(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) 
asked Jul 8, 2016 in PRECALCULUS by anonymous
reshown Jul 8, 2016 by goushi

1 Answer

0 votes

The piecewise-defined function is image.

(a)

Domain of the function image is image.

Domain of the function image is image.

(b)

Range of the function image is image.

Range of the function image is image.

(c)

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

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

(d)

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

(e)

The functions are does not constants.

answered Jul 9, 2016 by Anney Mentor

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