The value of y varies directly with the value of x. Which function represents the relationship between x and y if y=7/3 when x=21?

y = 1/9x

Step-by-step explanation:

Since it's a direct proportion, the formula to use will be:

y = kx

where,

y = 7/3

x = 21

k = unknown

y = kx

7/3 = 21k

k = 7/3 ÷ 21

k = 7/3 × 1/21

k = 1/9

The function will then be:

y = kx

y = 1/9x

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.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: