Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Relations and Functions

Question:

Let \(f\ :\ R \to \ R\) be the function defined by \(f(x)=x^2-6x+10\), then the range of f is

Options:

\(R\)

\([1,\infty)\)

\([6,\infty)\)

\([10,\infty)\)

Correct Answer:

\([1,\infty)\)

Explanation:

\(f(x)=x^2-6x+10\)

\(=(x-3)^2+1\)

As \((x-3)^2\geq 0\)

means \(f(x)\geq 1\)

Therefore, the range is \([1,\infty)\)