Mathematics · Functions

A real-valued function f: A → B defined by f(x) = 4 - x24 + x2 for all x ∈ A is a bijection. If -4 ∈ A, then the set A ∩ B is equal to:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1(-1, 0]✓
2[0, ∞)
3[0, 1]
4(-1, 1]

Correct answer

(-1, 0]

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A real-valued function f: A → B defined by f(x) = 4 - x24 + x2 for all x ∈ A is a bijection. If -4 ∈ A, then the set A ∩ B is equal to:

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A real-valued function f: A → B defined by f(x) = 4 - x24 + x2 for all x ∈ A is a bijection. If -4 ∈ A, then the set A ∩ B is equal to:

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