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3 years ago

11

What is the range of the function f(x) = 3x2 + 6x – 9

1 answer:

Svetradugi [14.3K]3 years ago

6 0

I have a solution here however with a slight change in the equation:

<span> f(x)=3x^2-6x+1

My solution is:

</span>The domain is all real numbers--there are no restrictions like a square root or variable in the denominator
<span>
this is a U shape parabola and you want to find the bottom point, it is at the vertex </span>
<span>x=-b/2a =- (-6) /2 (3) =1 </span>
<span>f(1) =3(1)^2 -6(1) +1 =3-6+1 =-2 </span>
<span>the minimum is (1, -2) </span>
<span>so the range is all real numbers >= -2
</span>
By examining my solution, you could just answer the problem on your own! I hope it helps!

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