What is the equation of the line of best fit for this data
1 answer:
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ANSWER
EXPLANATION
The given function is
When we plug in x=3 into this function, we obtain,
This means that the function is discontinuous at x=3.
We need to simplify the function to obtain,
This implies that,
The graph this function is a straight line that is continuous everywhere.
To graph
we draw the graph of
and leave a hole at x=3.
See diagram in attachment.
Hence the coordinates of hole is
EXPLANATION
The given function is
When we plug in x=3 into this function, we obtain,
This means that the function is discontinuous at x=3.
We need to simplify the function to obtain,
This implies that,
The graph this function is a straight line that is continuous everywhere.
To graph
we draw the graph of
and leave a hole at x=3.
See diagram in attachment.
Hence the coordinates of hole is
Function transformation involves changing the form of a function
The function g(x) is
The function is given as:
g(x) is an exponential function that passes through points (-2,2) and (-1,4).
An exponential function is represented as:
At point (-2,2), we have:
At point (-1,4), we have:
Divide both equations
Simplify
Apply law of indices
Rewrite as:
Substitute 2 for b in
This gives
Multiply both sides by 4
Substitute 8 for (a) and 2 for (b) in
Express as a function
Hence, the function g(x) is
Read more about exponential functions at: