SOLUTION: Determine the range of f(x) = 3(x – 2)^2 + 3.
Is it all real numbers?
Algebra.Com
Question 1103838: Determine the range of f(x) = 3(x – 2)^2 + 3.
Is it all real numbers?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
No, parabolas always have a limited range.
The domain is all real numbers.
However the parabola is in vertex form which simplifies the solution.
The quadratic coefficient, 3, is positive so the value at the vertex is the minimum.
So the range would be [,)
RELATED QUESTIONS
Find the range of the function
f(x) = {x^2 + 14x + 9}/{x^2 + 2x + 3}, as x varies over... (answered by ikleyn,math_tutor2020)
Which of the following is a function whose domain and range are all real numbers?
A)... (answered by Tatiana_Stebko)
Find the domain and the range of the given function.
f(x) = -x^2 + 6x
A. domain:... (answered by ewatrrr)
What are the domain and range of the function below?
D(x) = { x^2-2x-3 if x<4
(answered by Boreal)
Why is f(x)=|x+3| why is domain and range all real... (answered by ikleyn)
Which is not true about the graph of f(x) = |2x - 1|?
A: Domain: all real numbers.
B: (answered by josgarithmetic,MathTherapy)
Find the domain and range of the INVERSE of the given function.
f(x)=square root x-3... (answered by jim_thompson5910)
The domain of the function f(x) = 2x is all Real numbers but is the Range all Real... (answered by Jk22)
It was stated that a real function is a function whose domain
and codomain are subsets... (answered by richard1234)