SOLUTION: what is the domain and range of the function y=x^2+14x

Algebra ->  Functions -> SOLUTION: what is the domain and range of the function y=x^2+14x       Log On


   

Question 656187: what is the domain and range of the function y=x^2+14x
Found 3 solutions by solver91311, lynnlo, MathLover1:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


This is a polynomial function with real coefficients, so the domain is the set of all real numbers. The graph is a parabola that, because of the positive lead coefficient, opens upward. Hence the minimum value of the range is the value of the function at the vertex, and the range interval has no upper bound.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism

Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
all real numbers...domain
y≥-49,[-49,00)...range

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

y=x%5E2%2B14x

the domain: all real numbers
(-infinity,infinity)

and range:
The range is a bit trickier, which is why they may not ask for it. In general, though, they'll want you to graph the function and find the range from the picture. In this case:

+graph%28+600%2C+600%2C+-20%2C+10%2C+-55%2C+10%2Cx%5E2%2B14x%29+
As I can see from the picture, the graph "covers" all y-values+ where y%3E=-49,then the range is "all real numbers" equal or greater to-49.