Answer:
c)3/2(8/7)^x
Step-by-step explanation:
Evaluate the functions.
1. Because 7/4 > 1 and the exponent is positive,
the function does not decay.
2.Because 4/5 < 1 and the exponent is negative,
the function does not decay.
3. Because 8/7 > 1 and the exponent is negative,
the function decays.
4. Because 9/2 > 1 and the exponent is positive,
the function does not decay.
A composite plot the functions verifies the answer.
If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger. That's because the base is greater than 1 and the x is negative.
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