Question

Analyzing a Graph For each graph below, identify any interval(s) where the rational function is a) positive, b) negative, c) increasing, and/or d) decreasing. Use inequality signs where appropriate, and write “none” if any of the characteristics do not apply.

Answer 1

1. Graph: a) positive:x>1
 b)negative: x<1
 c) increasing : none
 d ) decreasing: x ∈ R\ { 1 }
2. a) positive: x < -2
 b) negative: x > -2
 c) increasing: x ∈ R\ {  -2 }
 d ) decreasing: none.
3. a) positive: x ∈ R\{ 0 }
 b ) negative: none
 c ) increasing: x< 0
 d ) decreasing: x> 0
Draw your own diagram: in the attachment.

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