Question

I don't understand any recursive sequences please help explain so

The graph of f(x) = |x| is reflected across the y-axis and translated to the left 5 units. Which statement about the domain and range of each function is correct?


A).Both the domain and range of the transformed function are the same as those of the parent function.

B).Neither the domain nor the range of the transformed function are the same as those of the parent function.

c).The range of the transformed function is the same as the parent function, but the domains of the functions are different.

D).The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.

Answer 1

The statement that is true about the domain and range of each function is; A) Both the domain and range of the transformed function are the same as those of the parent function.

How to interpret reflection of a function?

We are told that the graph of f(x) = |x| is reflected across the y-axis. Thus;

|-x| = x

Now, the function is translated to the left by 5 units and so the transformed function is; g(x) = |x + 5|

Thus, from the graph, we get;

Domain of both functions is the set of all real numbers.

Range of both functions is the set {y|y ≥ 0}

Thus, we conclude that Both the domain and range of the transformed function are the same as those of the parent function.

Read more about Reflection of a Function at; https://brainly.com/question/17193980

#SPJ1