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Class 11 · Mathematics

What is the range of the function (f(x)=|x-4|+1)?

Class 11 · Mathematics

What is the minimum value of \(f(x)=|x-4|+1\)?

Class 11 · Mathematics

What is the range of (f(x)=5-(x-2)^2)?

Class 11 · Mathematics

For real numbers x, what is the maximum value of the function \(f(x)=5-(x-2)^2\)?

Class 11 · Mathematics

What is the range of (f(x)=x^2+9)?

Class 11 · Mathematics

If \(f(x)=x^2+9\), where \(x\in\mathbb{R}\), what is the minimum value of the function \(f\)?

Class 11 · Mathematics

Which of the following functions is defined for all real numbers and has only positive real numbers as its range?

Class 11 · Mathematics

If the function f is defined on the set \(A=\{2,4,6\}\) by \(f(x)=\frac{x}{2}\), what is the range of f?

Class 11 · Mathematics

What is the domain of the function \(f(x)=\frac{x+2}{x+5}\)?

Class 11 · Mathematics

Which of the following values is not included in the domain of the function (f(x)=\frac{3}{x-6} ?

Class 11 · Mathematics

What is the real domain of f(x) = √(8 − x)?

Class 11 · Mathematics

What is the real domain of (f(x)=\sqrt{x-5})?

Class 11 · Mathematics

Which condition on \(x\) is required for the function \(f(x)=\sqrt{x-5}\) to have real values?

Class 11 · Mathematics

What is the range of (f(x)=7-2x) when (x \in \mathbb{R})?

Class 11 · Mathematics

What is the real domain of the function \(f(x)=x-7\)?

Class 10 · Mathematics

Suppose the quadratic equation \(ax^2+bx+c=0\) has two distinct real roots. Which condition definitely indicates that the roots have opposite signs?

Class 10 · Mathematics

For the quadratic equation \(ax^2+bx+c=0\) with real coefficients, where \(a\ne0\), if \(\frac{c}{a}<0\), which statement about its roots is correct?

Class 10 · Mathematics

For a quadratic equation \(ax^2+bx+c=0\) with real coefficients, where \(a\ne0\), which condition identifies that its roots have opposite signs?

Class 11 · Mathematics

If \(f(x)=|x+1|-3\), what is the minimum value of \(f(x)\)?

Class 11 · Mathematics

What is the domain of (f(x)=\frac{1}{\sqrt{x-1}})?