Question

Assignment: Positive and Negative Parts and Increasing and Decreasing
Intervals
Part I: 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
Graphs: 1) http://prntscr.com/5kvlq3 2) http://prntscr.com/5kvlxe 3) http://prntscr.com/5kvm3a

Answer 1

usually y = f(x)
for graph 1 y >0 when x >1

Answer 2

1-b y<0 when x =0 and < 0

Answer 3

to check if increasing or decreasing usually check the slope at a particular point.
the slope is comparing how y changes for the corresponding change in x

Answer 4

for graph 2
x > -5 y >0
x < -2 y > 0
-5 <x <-2 y >0
x = -2 y not defined
x >-2 y < 0
between x = -2 and x = 5 y is increasing
x > 5 y approaches 0

Answer 5

for graph 3
do the same look at x and see how y is affected

Answer 6

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Answer 7

@BradSuga