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Class 11 · Mathematics

What is the real domain of \(f(x)=\sqrt{16-x^2}\)?

Class 11 · Mathematics

What is the vertex of the graph of \(f(x)=|2x-8|+3\)?

Class 11 · Mathematics

For the function \(f(x)=\{x-2\}\), what is the value of \(f(5.75)\)? Here, \(\{y\}\) denotes the fractional part of \(y\).

Class 11 · Mathematics

Which of the following functions has a graph symmetric about the y-axis?

Class 11 · Mathematics

What is the horizontal asymptote of the function \(f(x)=\frac{4}{(x-3)^2}+1\)?

Class 11 · Mathematics

What is the central point of (f(x)=-(x-4)^3+2)?

Class 11 · Mathematics

What transformation changes \(f(x)=\frac{1}{x}\) into \(y=\frac{1}{x+3}-4\)?

Class 11 · Mathematics

Which function is obtained by shifting the graph of \(y=\sqrt{x}\) 4 units to the left and 5 units upward?

Class 11 · Mathematics

Which function shifts (y=x^2) (3) units right and (2) units down?

Class 11 · Mathematics

Which equation fails the vertical line test?

Class 11 · Mathematics

How does the graph of \(f(x)=2x^3\) compare with the graph of \(y=x^3\)?

Class 11 · Mathematics

What is the point where the graph of \(f(x)=x^3+27\) intersects the \(x\)-axis?

Class 11 · Mathematics

Which standard function has a parabola as its graph, with vertex at the origin and symmetry about the y-axis?

Class 11 · Mathematics

What is the y-coordinate of the y-intercept of the function \(f(x)=x^3+3\)?

Class 11 · Mathematics

What is the slope of the line \(5x-y=10\)?

Class 11 · Mathematics

What is the (y)-intercept of the line (3x+2y=12)?

Class 11 · Mathematics

For the function \(f(x)=\{2x\}\), where \(\{y\}\) denotes the fractional part of y, what is the value of \(f(x)\) at \(x=1.35\)?

Class 11 · Mathematics

What is the range of the fractional part function \(f(x)=\{x\}\)?

Class 11 · Mathematics

In the graph of the function \(f(x)=\lfloor x\rfloor\), what is the value of \(y\) for \(x\in[-3,-2)\)?

Class 11 · Mathematics

What is the value of (f(x)=\left\lfloor\frac{x+2}{3}\right\rfloor) at (x=7.4)?