SOLUTION: Consider the function:
f(x)=x^2+4
Will f(x) +4 have real zeros? Justify without any calculations.
Will f(x) -5 have real zeros? Justify without any calculations.
Will f(x-
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-> SOLUTION: Consider the function:
f(x)=x^2+4
Will f(x) +4 have real zeros? Justify without any calculations.
Will f(x) -5 have real zeros? Justify without any calculations.
Will f(x-
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Question 1020031: Consider the function:
f(x)=x^2+4
Will f(x) +4 have real zeros? Justify without any calculations.
Will f(x) -5 have real zeros? Justify without any calculations.
Will f(x-2) have real zeros? Justify without any calculations.
Will f(x+4) have real zeros? Justify without any calculations.
i can it with calculations but i do not have idea how to do without calculation. I would love any help. Answer by ikleyn(52794) (Show Source):
Consider the function f(x)=x^2+4
1. Will f(x) +4 have real zeros? Justify without any calculations. - No. is just non-negative, and has the minimum in 4 units over the zero.
2. Will f(x) -5 have real zeros? Justify without any calculations. - Yes. Its minimum is negative.
3. Will f(x-2) have real zeros? Justify without any calculations. - No. The same reason as in n.1. Notice that f(x-2) = .
4. Will f(x+4) have real zeros? Justify without any calculations. - No. The same reason as in n.1. Notice that f(x+4) = .