Test 10
1.
Which of the following inequality system gives the shaded area?
A) \(y\ge x+1\quad y\ge-x^2+1\)B) \(y\ge x+1\quad y\le-x^2+1\)C) \(y\le x+1\quad y\le x^2-1\)D) \(y\ge x+1\quad y\le x^2-1\)E) \(y\le x-1\quad y\le-x^2+1\)
2.
Which of the following inequality system gives the shaded area?
A) \(y\le-x^2+1\quad y>x^2-1\)B) \(y\le-x^2+1\quad y\ge x^2-1\)C) \(y>x^2-1\quad y<-x^2+1\)D) \(y\le-x^2+1\quad y\ge x^2+1\)E) \(y\le x^2-1\quad y\ge-x^2+1\)
3.
\(f(x)=-x^2-x+12\)
\(g(x)=3-x\)
\(\Rightarrow A(a,b)=?\)
A) \((0,3)\)B) \((-2,5)\)C) \((-3,6)\)D) \((-1,4)\)E) \((-4,7)\)
4.
\(f(x)=x^2\)
\(\Rightarrow a+b=?\)
A) \(3\)B) \(2\)C) \(1\)D) \(-1\)E) \(-2\)
5.
\(f(x)=x^2\)
\(g(x)=(x-3)^2\)
\(\Rightarrow A(a,b)=?\)
A) \(\left(\samefrac12,\samefrac14\right)\)B) \(\left(\samefrac32,\samefrac94\right)\)C) \(\left(\samefrac14,\samefrac1{16}\right)\)D) \((2,4)\)E) \((1,1)\)
6.
\(f(x)=2x^2\)
\(\Rightarrow |AB|=?\)
A) \(\samefrac12\)B) \(\samefrac{\sqrt2}{2}\)C) \(\sqrt2\)D) \(2\)E) \(2\sqrt2\)