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Big Ideas Math Integrated II
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Big Ideas Math Integrated II View details
6. Exponential Functions
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Exercise 3 Page 41

What do the graphs in Exploration 1 have in common?

See solution.

Practice makes perfect

All the graphs shown in Exploration 1 represent exponential functions. Their parent function is of the form f(x) =b^x, where b is a positive number. From the graphs given, we can summarize some general things they have in common.

  • An exponential function is continuous, as its graph presents no gap.
  • The domain is all real numbers, (- ∞, +∞).
  • The range is all real numbers greater than 0, (0, +∞).
  • The graph approaches 0 either when x→ +∞ or x→ - ∞.
  • The graph has no x-intercepts.
  • The graph always includes the point (0,1).
  • The graph always includes the point (1,b).
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arrow_right Communicate Your Answer p.41
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arrow_right Monitoring Progress p.43-46
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