226k views
1 vote
What is the domain and the range to this

What is the domain and the range to this-example-1
User Giffary
by
7.6k points

1 Answer

6 votes

Answer:

Look Down below :P

Explanation:

If you were looking for if it even has a domain and range let's say if the point (15/4,7) should have read (15/4,17) then a plot of these points appears to show a hyperbola and the x and y (f(x)) axes look like Asymptotes. If the general function has the form f(x)=a/x, then there should be a consistent value for a which can be found be substituting the points in the equation. Take one point (17,15/4) and we get 15/4=a/17, from which a=255/4. f(x)=255 x/4. We have no negative values as examples so we cannot assume that the function is defined for negative values of x. f(x)=255 x/4 fits all the points except for (15/4,7), which is possibly mis-typed. The domain of the function is therefore all values of x>0 and the range of f(x) is f(x)>0, assuming continuity and extrapolation of the function.

If the point (15/4,7) is valid then f(x) as defined above is invalid or incomplete. f(x) may be a piece wise function where f(x)=7 if and only if x=15/4. For 0<x<15/4 and x>15/4, f(x)=255 x/4. These would be the domain for x. The range of f(x) is f(x)>0 and f(x)=7 only when x=15/4.

User KopBob
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories