Which of the following is the best use for the sign chart when graphing rational functions? a) to determine the slope for the graph of f(x)
b)to determine where the zeros are for f(x)
c) to determine if the graph of f(x) is straight or curved
d) to determine where the maximum for the graph is for the graph of f(x)

The right answer is b) to determine where the zeros are for F(x)

Sign chart is very useful to determine where the function is positive or negative. So, a rational function  must be entirely positive or entirely negative between two consecutive zeros. This means that if you put in order the real zeros of a rational function, they divide the real  number line into intervals in which the function has no sign changes. In other words, if the function is continuous in some interval, then between every change in sign there will be a zero of the rational function.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

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y

=

−

2

find the upper bound of the range.

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y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

2160ft3

step-by-step explanation: