Test 2
1.
Which of the following is the graph of an odd function?
A) B) C) D) E)
2.
\(f(x)=(a-2)x^7+(a+b-3)x^5+4x^2-6\)
\(f(x)=f(-x)\)
\(b=?\)
A) \(-2\)B) \(-1\)C) \(1\)D) \(3\)E) \(5\)
3.
\(f:\mathbb R\to\mathbb R\)
\(f(x)=f(-x)\)
\(f(-2)=k+4\)
\(f(2)=2k-1\)
\(k=?\)
A) \(8\)B) \(7\)C) \(6\)D) \(5\)E) \(14\)
4.
\(2f(x)+f(-x)=x^2+k\)
\(f(x)=f(-x)\)
\(f(2)=3\)
\(k=?\)
A) \(-1\)B) \(1\)C) \(3\)D) \(5\)E) \(6\)
5.
Which of the following is increasing on \((0,\infty)\)?
A) B) C) D) E)
6.
Which of the following is a decreasing function?
A) B) C) D) E)
7.
Which of the following is increasing on \((-\infty,0)\)?
A) \(f(x)=3-x\)B) \(f(x)=\samefrac2x\)C) \(f(x)=x^2-4x+3\)D) \(f(x)=2\ln x\)E) \(f(x)=9-x^2\)