Donell compared the hours students spent each day on social networks to the hours they spent on homework. His data is shown belo
2 answers:
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Given:
The two functions are:
To find:
The statement that best compares the graph of g(x) with the graph of f(x).
Solution:
The horizontal stretch is defined as:
...(i)
If , the function f(x) is horizontally stretched by factor
.
If , the function f(x) is horizontally compressed by factor
.
We have,
Using these functions, we get
...(ii)
On comparing (i) and (ii), we get
Since , the function f(x) is horizontally stretched by factor
.
Hence, the correct option is D.