CHAPTER 3 PRACTICE TEST

As a study aid, we have included complete solutions for each Practice Test problem at the back of this book.

  1. Given f(x) = 8x − 2x2 ,  find (a) f( − 4) and (b) f(x − 4) . 

  2. A rocket has a mass of 2000 Mg at liftoff. If the first-stage engines burn fuel at the rate of 10 Mg/s, find the mass m of the rocket as a function of the time t (in s) while the first-stage engines operate. Sketch the graph for t = 0s to t = 60s . 

  3. Plot the graph of the function f(x) = 4 − 2x . 

  4. Use a graphing calculator to solve the equation 2x2 − 3 = 3x to the nearest 0.1.

  5. Plot the graph of the function y = 4 + 2x . 

  6. Locate all points (x, y) for which x < 0 and y = 0.

  7. Find the domain and the range of the function f(x) = 6 − x . 

  8. If the function

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