Functions and Relations Question
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Grade 11 Functions and Relations CCSS: HSF-LE.A.3
The following table shows values of a linear function, m(x), and an exponential function, n(x). What is the correct conclusion?
- n(x) > m(x) for x ≥ 4. The exponential function, which triples, has surpassed the linear function that only adds 5 each time.
- m(x) > n(x) for all x. The linear function starts with a much higher value and increases, so it will always be greater.
- n(x) > m(x) for x ≥ 3. The values are equal between x=3 and x=4, and then n(x) becomes greater.
- The functions intersected between x=3 and x=4, so n(x) is greater for all x > 3.5.
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