The pair of points to be used is k and M.
What is line of best fit?A line of best fit is a straight line which is used to show the relations among non-linear points in a scatter plot. Thus it evenly varies the points on its two sides. This is majorly used when dealing with a cartesian coordinate, or plotted points on a graph.
Considering the given scatter plot, it can be observed that points J, L, M and K on non-linear. Thus the straight line that can be used to as line of best fit is by joining point K and M.
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f(x)= [tex]f(x)=\frac{x^{2} +7}{x^{2} +4x-21}[/tex]
The value of the function f(x) = ( x² + 7 ) / ( x² + 4x - 21 ) for x = 5 is equal to 4/3.
The function is equal to,
f(x) = ( x² + 7 ) / ( x² + 4x - 21 )
find the value of f(x) at x=5 by substituting x=5 into the given function we have,
⇒ f(5) = ( 5² + 7 ) / ( 5² + 4(5) - 21 )
⇒ f(5) = ( 25 + 7 ) / ( 25 + 20 - 21 )
⇒ f(5) = 32 / 24
Now reduce the fraction by taking out the common factor of the numerator and the denominator we get,
⇒ f(5) = ( 8 × 4 ) / ( 8 × 3 )
⇒ f(5) = 4/3
Therefore, the value of the function f(x) at x=5 is 4/3.
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The given question is incomplete, I answer the question in general according to my knowledge:
Find the value of the function f(x) at x = 5.
f(x) = ( x² + 7 ) / ( x² + 4x - 21 )