Lesson 1

Are You Ready?

 

Complete the following questions. If you experience difficulty and need help, visit Refresher or contact your teacher.

1.  
   1. Given the function f(x) = 3x − 6, find
      1. f(−1)
      2. f(0)
      3. f(3)
      4. x, when f(x) = 0
      
      Answers
   2. State the answers from question 1.a. as sets of ordered pairs. Answers
   3. Graph f(x) without technology. Answers
   4. State the domain and range for f(x). Answers
   5. State the x- and y-intercepts for f(x). Answers
   6. The slope y-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. State the slope of f(x). Look at your answer to question e. for the y-intercept: Is it the same as the last number in the equation? Answer
2.  
   1. Given the function g(x) = 2x2 − 4x − 6, find
      1. g(−2)
      2. g(0)
      3. g(4)
      4. x, when g(x) = 0
         
         
      Answers
   2. State the answers from question 2.a. as sets of ordered pairs. Answers
   3. Graph g(x) without technology. Answers
   4. State the domain and range for g(x). Answers
   5. State the x- and y-intercepts for g(x). Answers
   6. The function g(x) is a quadratic function and can be written as g(x) = 2(x − 1)2 − 8.
      1. What is the vertex?
      2. What is the axis of symmetry?
      3. Describe whether the graph opens up or down.
      4. Is the graph wider or thinner than g(x) = x2? What number in the equation can be used to predict this?
      5. What is the minimum value?
      6. What are the domain and range?
      
      Answers

If you answered the Are You Ready? questions without difficulty, move to Discover.

 

If you found the Are You Ready? questions difficult, complete the Refresher.