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muminat
3 years ago
9

Which best describes the range of the function f(x) = 2(1/4) after it has been reflected over the y-axis? all real numbers all r

eal numbers less than 0 all real numbers greater than 0 all real numbers less than or equal to 0

Mathematics
2 answers:
trapecia [35]3 years ago
6 0

Answer:

All real numbers greater than 0.

Step-by-step explanation:

We have the function, f(x) = 2(\frac{1}{4})^{x}.

'Reflection over y-axis means to flip the graph over y-axis', which changes the function by f(x) becomes f(-x).

So, after reflection, the given function transforms into,

g(x)=f(-x)

i.e. g(x)=2(\frac{1}{4})^{-x}

According to the graph of the function g(x), we see that,

Range of g(x)=2(\frac{1}{4})^{-x} is the 'Set of all real non-negative numbers' i.e. {x | x > 0} i.e. (0,\infty)

juin [17]3 years ago
4 0
Your answer should be C 
all numbers greater than 0
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