If the function f : (−∞, &in

CUET Preparation Today

Start Free Mocks

Home Questions R9UUZ7FJU7

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If the function f : (−∞, ∞) → B defined by f(x) = -x² + 6x - 8 is onto, then B is equal to :

Options:

(–∞, 1]

(–∞, 1)

(–∞, 2]

None of these

Correct Answer:

(–∞, 1]

Explanation:

We have to find B such that f(x) because onto ⇒ B should be equal to range of f(x).

Now f(x) = 1 – (x – 3)²

⇒ Range = (–∞, 1] = B

Hence (1) is the correct answer.