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

your answer should be C
all numbers greater than 0

Answer 2

All real numbers greater than 0.

Explanation:

We have the function,
`f(x) = 2((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((1)/(4))^(-x)`

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

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