The function .... is symmetric with respect to what ?
1 answer:
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Answer:
we conclude that the function is one-to-one.
Step-by-step explanation:
A function will a one-to-one function if it
- passes the vertical line test to make sure it is indeed a function, and
- also a horizontal line test to make sure it is it one-to-one.
In other words,
The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.
The reason is that there must be only one x-value for each y-value.
Given the function
Have a look at the attached graph.
- The red portion represents the graph of the function
.
- The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that
- The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that
Therefore, we conclude that the function is one-to-one.
Equations can be represented on graphs by plotting the corresponding x and y values. The graph of is option (B).
Given that:
First, we check the y intercept of
This is when
So, we have:
This point is represented as:
Next, check the equation when
So, we have:
This point is represented as:
From the list of given options (see attachment).
Only graph B has the and
on its curve.
Hence, option (B) is correct.
Read more about equation of graphs at:
