Math 116 - Chapter 1 Study Guide

  1. Use a graphing utility to graph the equation. Approximate any x or y intercepts. Two parts. Look at problems 1.1.19 - 1.1.25 and 1.4.47 - 1.4.49.
  2. Describe the viewing window. Look at problems 1.1.59 - 1.1.62.
  3. Find three additional points on the line passing through the given point with the given slope. Look at problems 1.2.17 - 1.2.25.
  4. Find the equation of the line that passes through the given point with the given slope. Look at problems 1.2.51 - 1.2.59.
  5. Determine if the equation represents y as a function of x. Three parts. Look at problems 1.3.13 - 1.3.22.
  6. Evaluate the function at the specified value of the independent variable and simplify. Three parts. Look at problems 1.3.25 - 1.3.35.
  7. Find the domain of the function. Three parts. Look at problems 1.3.51 - 1.3.60.
  8. Use a graphing utility to approximate any relative minimum or maximum values of the function. Be sure to give both the x and y coordinates. Look at problems 1.4.51 - 1.4.55.
  9. Identify the common function, describe the translation (in English - like "left 2" or "multiply every y by 3"), and write the formula for the translated graph. Three parts. Look at problems 1.5.13 - 1.5.24.
  10. Find the composition of functions. Two parts. Look at problems 1.6.35 - 1.6.43.
  11. Find the difference quotient for the given function, and simplify. You are responsible for knowing the formula for the difference quotient. Look at problems 1.6.61 - 1.6.64.
  12. Sketch the inverse of the given function. A function is sketched, you need to sketch its inverse. You are not given the equation of the function, just the graph. Look at problems 1.7.1 - 1.7.4.
  13. Determine whether the function is one-to-one. If it is, find the its inverse. Three parts. Look at problems 1.7.41 - 1.7.59.
  14. Find an equation for the line passing through the given points. Look at problems 1.2.41 - 1.2.49.

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