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In the context of the passage, which of the following statements about exponenti
In the context of the passage, which of the following statements about exponential functions is true?
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Practice Questions
1 question
Q1
In the context of the passage, which of the following statements about exponential functions is true?
They always cross the x-axis.
They have a constant rate of change.
They grow or decay at a rate proportional to their value.
They are linear functions.
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Exponential functions grow or decay at a rate that is proportional to their current value, which is a defining characteristic.
Questions & Step-by-step Solutions
1 item
Q
Q: In the context of the passage, which of the following statements about exponential functions is true?
Solution:
Exponential functions grow or decay at a rate that is proportional to their current value, which is a defining characteristic.
Steps: 4
Show Steps
Step 1: Understand what an exponential function is. It is a mathematical function where a constant base is raised to a variable exponent.
Step 2: Recognize that exponential functions can either grow (increase) or decay (decrease) over time.
Step 3: Identify that the rate of growth or decay of an exponential function is not constant; it changes based on the current value of the function.
Step 4: Conclude that the defining characteristic of exponential functions is that their growth or decay rate is proportional to their current value.
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