SAT Math : Practice Questions-Passport to advanced mathematics-Function notation

Question

 \(f(x)=3x^2+4x-c\)

In the given quadratic function \(f, c\) is a constant and \(f(2)=12\). What is the value of \(c\)?

  1. 8
  2. 30
  3. 32
  4. 468
Answer/Explanation

Ans: A

Question

\(A=P(rt+1)\)

The equation shown gives \(A\) in terms of \(P\),\(r\), and \(t\), where \(P\)  and \(r\)  are not equal to 0. Which  equation gives \(t\)  in terms of \(A\), \(P\), and \(r\) ? 

  1. \(t=\frac{A}{P}-\frac{1}{r}\)
  2. \(t=\frac{A}{Pr}-\frac{1}{Pr}\)
  3. \(t=\frac{A}{Pr}-\frac{1}{r}\)
  4. \(t=\frac{A}{r}-\frac{P}{r}\)
Answer/Explanation

Ans: C

Question

\(f (t) = 0.025t + 10.30\) The function f models the length f(t) , in micrometers, of a yeast cell of a certain strain t minutes after completing cell division for 0 ≤ t ≤ 30

What is the predicted length, rounded to the nearest tenth of a micrometer, of a yeast cell 10 minutes after completing cell division? 

  1. 10.1
  2. 10.3
  3. 10.6
  4. 12.8
Answer/Explanation

Ans: C

Question

\(f (t) = 0.025t + 10.30\) The function f models the length \(f(t)\) , in micrometers, of a yeast cell of a certain strain \(t\) minutes after completing cell division for \(0 ≤ t ≤ 30\)

What is the best interpretation of the number 0.025 in the context of this model?

  1. The predicted length, in micrometers, of a yeast cell before cell division starts.
  2. The predicted length, in micrometers, of a yeast cell each minute after completing cell division.
  3. The increase in the predicted length, in micrometers, of a yeast cell every 10.3 minutes after completing cell division.
  4. The increase in the predicted length, in micrometers, of a yeast cell each minute after completing cell division.
Answer/Explanation

Ans: D

Question

The function A(t) = 10(1/2)t/30 represents the mass A(t) , in grams, of a certain radioactive isotope remaining in a substance after t seconds. Which of the following is the best interpretation of the value 10 in this context?

  1. The initial mass, in grams, of the radioactive isotope in the substance when t = 0
  2. The mass, in grams, of the radioactive isotope in the substance after 30 seconds
  3. The number of seconds it takes for the radioactive isotope in the substance to completely disappear
  4. The number of seconds it takes for half of the initial mass of radioactive isotope in the substance to disappear
Answer/Explanation

Ans: A

Question

The function \(f\) is defined by \(f\)(\(x\))=\(x\)2-7. What is the value of \(f\)(3)?

  1. -16
  2. -2
  3. 2
  4. 16
Answer/Explanation

Ans: C

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