How does the graph of y = -4e^3x differ from the graph of y = 4e^3x?

Step-by-step explanation:

hello :

the two graphs are symmetrical about the x - axis

y=4e^3x  (color red)    and  y= - 4e^3x  (color blue)

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:

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