Which function represents the equation of the line?

the third option, f(x) = 3x

work: since f(X) = y, let's look at the relationships between x and y. the two points we are given are (-2, -6) and (2,6). now, let's compare these to the options we are given.

option one: f(x) = x this is saying that the value of x is equal to the value of y. is 6 equal to 2? no, so this option is incorrect.

option two: f(x) = -x this is saying that the value of y is the value of x, but with the opposite negative/positive sign. are 2 and 6 the same numbers, just one is poistive and one is negative? no. so this option is incorrect.

option three: f(x) = 3x this is saying that the value of y is three times the value of x. is three times 2 equal to 6? yes, it is. is three times -2 equal to -6? yes, iyt is. so this option is correct.

we don't even need to look at number four now, since we know three is the correct answer, and anyways, -2 times 2 is -4,, and not 6.

hope this helps and have a great day!

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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: