Posted by **mary** on Tuesday, January 17, 2012 at 10:40am.

, for this problem f(x)=3x^2-6x-7,what is the minimum value and where do it occurs, and what is this functions domain and range?

- college algebra -
**Steve**, Tuesday, January 17, 2012 at 3:36pm
for any parabola, the min/max occurs where x = -b/2a

In your case, at x=6/6 = 1

domain for any polynomial is all reals

f(x) = 3x^2 - 6x - 7

= 3(x-1)^2 - 10

from this you can easily see that the min at x=1 is -10

so the range is all reals >= 10

- college algebra -
**M**, Sunday, January 22, 2012 at 11:06pm
By completing square,

f(x) = 3[x^2 -2x - 7/3]

= 3[x^2 - 2(x)(1) + (1)^2 - (1)^1 - 7/3]

= 3[(x - 1)^2 - 1 - 7/3]

= 3(x - 1)^2 - 3 - 7

= 3(x - 1)^2 - 10

## Answer this Question

## Related Questions

precalculus check immediately - suppoe f is a function with domain [1,3]and ...

Math - If f(x)=sin(x) and g(x)=x^2-x+1, find the domain of f(g(x)) and g(f(x)). ...

College Algebra - what is the domain of each of the following functions,their ...

Need Help!! Algebra - I am having trouble in this class and need help with this ...

URGENT ALGEBRA 2 - identify the vertex and the axis of symmetry of the graph for...

algebra can someone help my buddy ray out - identify the vertex and the axis of...

algebra - Find the domain and range of the function. 1. f(x)= x^2-x I got: ...

Algebra 2 - 3. Identify the vertex and the axis of symmetry of the graph of the ...

maths - what is the largest domain of the following functions f(x)=3x-5 f(x)=...

math (2nd Try) - You have 6 cups of sugar. It takes 1 cup of sugar to make 24 ...