given the following linear function sketch the graph of the function and find the domain and range f(x) =2/7x-2
2 answers:
Answer: Domain of the function= , Range of the function =
Step-by-step explanation:
Since, The given function,
Which is a rational function.
For finding the domain, denominator ≠ 0
Therefore, 7x-2 ≠ 0 ⇒ 7x ≠ 2 ⇒ x ≠2/7
Thus domain of the function =
since,
⇒y(7x-2)=2⇒7xy-2y=2⇒
Thus, we know that For finding the range, 7y≠0⇒y≠0
Thus, range of the function =
You might be interested in
Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think.
Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h
In short,
adjacent = 80
opposite = h
We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018 <<-- see note below
So the lighthouse is roughly 17.0045249336018 meters tall
Answer: 17.0045249336018
Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to
Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h
In short,
adjacent = 80
opposite = h
We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018 <<-- see note below
So the lighthouse is roughly 17.0045249336018 meters tall
Answer: 17.0045249336018
Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to