Module 6: Lesson 1

 

Self-Check 3

  1. Question 8 on page 367 of the textbook

    1. The a-value is 190. This means that there has been a vertical stretch by a factor of 190 about the x-axis. The b-value is . This means that there has been a horizontal stretch by a factor of 10 about the y-axis.
    2. The transformed graph is as follows:

       
      This graph is an exponential decay, with a y-intercept of (0, 190) and a horizontal asymptote at x = 0.
    3. The domain of the graph is {t|t ≥ 0, t ∈ R}. The range of the graph is {T|0 < T ≤ 190, T ∈ R}.
    4. As shown in the following graph, the milk will keep fresh for approximately 31.1 h at 22°C.

       
      This graph is an exponential decay, with a y-intercept of (0, 190) and a horizontal asymptote at x = 0. There is another graph through the line y = 22. The two graphs intersect at approximately (31.1, 22).

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