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Which function rule models the function over the domain specified in the table below? x f(x) –7 –11 –1 1 3 9 4 11 7 17 f(x) = 3x 10 f(x) = 2x 3 f(x) = 4x 5 f(x) = 3x – 10.

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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