SOLUTION: graph the function and state the domain and range. 26. g(x)=x^2-2x-15

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: graph the function and state the domain and range. 26. g(x)=x^2-2x-15      Log On

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Question 36485: graph the function and state the domain and range.
26. g(x)=x^2-2x-15
Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
You can find the domain and range from the graph, so if you have a graphing calculator, this is one GOOD way to find domain and range-- draw the graph on your calculator.

The alternatives to the graphing calculator would be to find the vertex by using the formula y+=+-b%2F%282a%29+ or the completing the square method. By any of these methods, this is what the graph should look like:
graph+%28300%2C300%2C-6%2C+6%2C+-20%2C+10%2C+x%5E2-2x-15%29+


From this graph, you can see that the graph extends from left to right from (-infinity to postiive infinity. In interval notation this would be
Domain = (-inf, inf).

The graph extends, as you can see from the graph, from it's lowest point at the vertex at (1,-16) upward to infinity. That would be the
Range = [-16, inf).

R^2 at SCC