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which best describes the range of the function f(x) = 2(1/4)^x after it has been reflected over the y-axis? a. all real numbers b. all real numbers less than zero c.all real numbers greater than zero d.all real numbers less than or equal to zero

Respuesta :

HomertheGenius
After the function has been reflected over the y-axis the range is:
c ) all real numbers greater than zero.
TaeKwonDoIsDead

Answer:

C


Step-by-step explanation:

Range is the set of ALLOWED y-values in a function.

The attached graph shows [tex]f(x)=2(\frac{1}{4})^{x}[/tex] as the blue curve and the y-reflected graph [given by  [tex]f(x)=2(\frac{1}{4})^{-x}[/tex] ] as the red curve.

As seen from the graph, reflecting over the y-axis has no effect on the range. This exponential graph DOES NOT equal 0 but approaches closer and closer to 0.

Hence, range [y-values] is set of all real numbers GREATER THAN 0. Answer choice C is right [as seen in the graph]

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