SOLUTION: Given is the function f(x)=-1/2 x^2-4x+4. If we restrict its domain to [-6,2], what is the corresponding range?

SOLUTION: Given is the function f(x)=-1/2 x^2-4x+4. If we restrict its domain to [-6,2], what is the corresponding range?

Algebra.Com

Question 1051192: Given is the function
f(x)=-1/2 x^2-4x+4. If we restrict its domain to [-6,2], what is the corresponding range?

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Graphing it,
.
.
.

.
.
.
.
We see the max occurs in the interval and the min occurs at the right endpoint,

So the range is [-6,12].

RELATED QUESTIONS
Given the equation: f(x)= -2(x-1)^2+4, Determine the equation of its inverse. Restrict... (answered by MathLover1,greenestamps)

Some functions that aren't invertible can be made invertible by restricting their... (answered by stanbon)

Given the function, f(x)=(x+2)^2, which is not one-to-one, a) Restrict the function's... (answered by josgarithmetic)

Given the function y = f(x) = -x^2 + 8x -12. Suppose the domain of the function is... (answered by josgarithmetic)

For each function, graph the function and its inverse. If the inverse is a function,... (answered by MathLover1)

what is the domain and range of the function.... f(x)= 4/x +... (answered by lwsshak3)

What is the range of function {{{f(x) = x^2 + 1}}}, when the domain is... (answered by funmath)

Given : f(x)=2x^2+2 1. Find the domain of f(x). 2. Find the range of... (answered by josgarithmetic)

What is the range of the function f(x)=3x^2+2 if the domain is {-3, 0, 4}... (answered by dkppathak)