SAT Math: Practice Questions-Passport to advanced mathematics-Polynomial factors and graphs

Question

                   The graph of the function \(f\) is shown. what is the value of \(x\) for f(\(x\))=0? 

  1. -6
  2. -3
  3. 0
  4. 3
Answer/Explanation

Ans: D

Question

\(x\)2(\(x\)+3)(\(x\)-\(b\))=0

In the given equation, \(b\) is a positive constant. The sum of the solutions of the equation is 5. What is the value of \(b\) ?

Answer/Explanation

Ans: 8

Question

\(f(x)=\frac{k-x}{1+x}\)

In the given function \(f\), \(k\) is a positive constant. Which of the following could be the graph of \(f\) in the \(xy\)-plane ?

Answer/Explanation

Ans: A

Question

\(y\)=(\(x\)-1)(\(x\)+1)(\(x\)+2)

The graph in the \(xy\)-plane of the equation above contains the point (\(a\), \(b\) ). If \(-1 \leq a \leq 1\) , which of the following is NOT a possible value of \(b\) ?

  1. -2
  2. -1
  3. 0
  4. 1
Answer/Explanation

Ans: D

Question

The graph of the function \(f\) is shown. Which of the following is a value of \(x\) for which f(\(x\)) = 0 ?

  1. -1
  2. 0
  3. 1
  4. 4
Answer/Explanation

Ans: C

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