Asked by kelvin calin
Several ordered pairs from a continuous exponential function are shown in the table.
A 2-column table has 4 rows. The first column is labeled x with entries 0, 1, 2, 3. The second column is labeled y with entries 4, 5, 6.25, 7.8125.
What are the domain and range of the function?
The domain is the set of integers, and the range is y > 4.
The domain is the set of integers, and the range is y > 0.
The domain is the set of real numbers, and the range is y > 0.
The domain is the set of real numbers, and the range is y > 4.
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Answer: The domain is the set of real numbers, and the range is y > 0.
Reason: The points fit y = 4(1.25)^x, a continuous exponential defined for all real x, with y → 0+ as x → −∞, so y is always positive.
Reason: The points fit y = 4(1.25)^x, a continuous exponential defined for all real x, with y → 0+ as x → −∞, so y is always positive.
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