Question

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

Answer 1

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. $(0,\infty)$

Answer 2

Your answer should be C 
all numbers greater than 0