SOLUTION: for the function f(x)=3x^2+23x-14
find the domain and range
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Question 605082: for the function f(x)=3x^2+23x-14
find the domain and range
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
for the function f(x)=3x^2+23x-14
find the domain and range
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Domain: All Real Numbers
----------------------------
Range: ?
Find the vertex:
x = -b/(2a) = -23/(6)
f(-23/6) = 3(-23/6)^2 + 23(-23/6) -14 = -58.08
Since the parabola opens up, the range is
"All Real Numbers >= -58.08".
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Cheers,
Stan H.
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I can put any number I want in for , (+) or (-),
and I still get out 's, so the domain is + infinity
to - infinity
----------------
The curve is a parabola with a minimum at it's vertex, and
the vertex is at where
Vertex is at
Plug this into equation to find
So, the range is + infinity to -697/12
Here's the plot:
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