Question

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

Answer 1

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

Answer 2

C

Explanation:

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

The attached graph shows
`f(x)=2((1)/(4))^(x)` as the blue curve and the y-reflected graph [given by
`f(x)=2((1)/(4))^(-x)` ] 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]