Find range of f(x) = x2 – 6x + 14?
(-∞, 8)
(-∞, 100)
(-∞, 45)
(5, ∞)
Answers
Answered by
3
Answer:
Step-by-step explanation:
x^2 - 6x + 14 = (x - 3)^2 + 5 >= 5 , för all x € R.
Range = [5 , infinity)
Answered by
0
Answer:
x2 - |x + 3| + x > 0Given, f(x) = x2 - 6x + 14f(x) can be written as -
x2 - 6x +9 -9 + 14 f(x)= (x-3)2 + 5
As you can see, for whatever value of x, the term (x-3)2 is always positive. The least value it can take is zero, so the minimum value of the function is 5.
The maximum value can range until infinity. Therefore, Range = (5, ∞).
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