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Class 11 · Mathematics

Which of the following functions has a smooth U-shaped graph that is symmetric about the y-axis and touches the x-axis at the origin?

Class 11 · Mathematics

For the function \(f(x)=\lfloor x\rfloor\), which part of the graph is obtained for \(x\in[3,4)\)?

Class 11 · Mathematics

What is the value of (f(x)=\lfloor 2x\rfloor) at (x=1.4)?

Class 11 · Mathematics

What is the value of (f(x)=\lfloor x+2\rfloor) at (x=1.6)?

Class 11 · Mathematics

For the function \(f(x)=\operatorname{sgn}(4-x)\), what is the value of \(f(x)\) when \(x<4\)?

Class 11 · Mathematics

For the function \\(f(x)=\\operatorname{sgn}(2x+6)\\), what is the value of \\(f(x)\\) when \\(x<-3\\)?

Class 11 · Mathematics

For the function \(f(x)=\operatorname{sgn}(x-5)\), what is the value of \(f(x)\) at \(x=5\)?

Class 11 · Mathematics

What is the range of (f(x)=\frac{-1}{(x-3)^2})?

Class 11 · Mathematics

What is the range of (f(x)=\frac{1}{(x+1)^2}+3)?

Class 11 · Mathematics

What is the domain of the function \(f(x)=\frac{1}{(x-2)^2}\)?

Class 11 · Mathematics

What is the range of (f(x)=\sqrt{5-x}+2)?

Class 11 · Mathematics

What is the minimum value of the function \(f(x)=2\sqrt{x-1}+3\)?

Class 11 · Mathematics

What is the starting point of (f(x)=\sqrt{x+2}-3)?

Class 11 · Mathematics

How is the graph of (f(x)=-2x^2) related to (y=x^2)?

Class 11 · Mathematics

How does the graph of \(f(x)=\frac{1}{2}x^2\) compare with the graph of \(y=x^2\)?

Class 11 · Mathematics

How will the graph of \(f(x)=3|x-2|\) compare with the graph of \(y=|x-2|\)?

Class 11 · Mathematics

What is the range of the function 8f(x)=-(x-4)^2-19?

Class 11 · Mathematics

What is the range of the function \(f(x)=(x+1)^2+3\)?

Class 11 · Mathematics

What are the x-intercepts of the function \(f(x)=(x-3)^2-4\)?

Class 11 · Mathematics

Which points are the x-intercepts of the function \(f(x)=|x+1|-4\)?