The function y=-x-1 and y=1/2x +k intersect at the point (-2,1). Find the value of k

K=1.25

Step-by-step explanation:

Firstly, an intersection stated will be regarded as a solution to an equation, so it is easy for anyone to plug the x and y coordinate into a function.

You can take y=1/2x+k and add (-2,1) to the corresponding values as follows.

(1)=1/2(-2)+k

And simplify

1=1/-4+k

Subtract (-1/4) from both sides

1.25=k

If you are required to, convert 1.25 to fraction form: 1 and 1/4 OR 5/4

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: