Which function represents g(x), a reflection of f(x) = 1/2(3)^x across the y-axis
1 answer:
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Answer:
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Step-by-step explanation:
Given
---x = 0, in 2012
-- x = 5, in 2017
Required
Select all possible equations
Because there is a reduction in the population, as time increases; the rate must be less than 1.
An exponential function is represented as:
Where
rate > 1 in options (a) and (b) i.e. 1.03
This implies that (a) and (b) cannot be true
For option (c), we have:
Set x = 0
Set x = 5
<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>
For option (d), we have:
Set x = 0
<em>This is false because the calculated value of f(0) does not correspond to the given value</em>
For option (e), we have:
Set x = 0
undefined
<em>This is false because the f(x) is not undefined at x = 0</em>
For option (f), we have:
Set x = 0
<em>This is false because the calculated value of f(0) does not correspond to the given value</em>
<em>From the computations above, only (c) </em><em> is true</em>