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Sagot :
The function rule models the function over the domain specified is [tex]\rm f(x)=2x+3[/tex].
Given
The function rule models the function over the domain specified in the table below.
x -7 -1 3 4 7
f(x) -11 1 9 11 17
What is the domain of the function?
The set of all possible values which qualify as inputs to a function is known as the domain of the function.
The slope between two points is given by;
[tex]\rm Slope =\dfrac{1-(-11)}{-1+7}\\\\ Slope =\dfrac{1+11}{6}\\\\ Slope =\dfrac{12}{6}\\\\ Slope =2[/tex]
The slope of the function is 2.
Therefore,
The equation of line will be;
[tex]\rm y-y_1=m(x-x_1)\\\\y-(-11)=2(x-(-7))\\\\y+11=2(x+7)\\\\y+11=2x+14\\\\y=2x+14-11\\\\y=2x+3\\\\y=f(x)\\\\f(x)=2x+3[/tex]
Hence, the function rule models the function over the domain specified is [tex]\rm f(x)=2x+3[/tex].
To know more about the Domain click the link given below.
https://brainly.com/question/12208715
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