2c-5=9 Please Help! And show work!!
2 answers:
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Answer:
Option (d).
Step-by-step explanation:
Note: The base of log is missing in h(x).
Consider the given functions are
The function m(x) can be written as
...(1)
The translation is defined as
.... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).
Hence, option (d) is correct.
Answer:
We conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
Step-by-step explanation:
If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
For example, let the function
It is clear that the given function becomes undefined at x = 3 in the denominator.
i.e. 3-3 = 0
It means, the function can not have x = 3, otherwise, the function will become undefined.
In other words, if the function has a vertical asymptote at x = 3, then the function is undefined at the value.
Therefore, we conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.