hich 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

a f(x) = 3x + 10

b f(x) = 2x + 3

c f(x) = 4x + 5

d f(x) = 3x – 10

Respuesta :

Answer:


Step-by-step explanation:


Answer with explanation:

x        -7        -1     3     4       7    

f(x)     -11       1     9    11      17

Slope between two points

     [tex]m=\frac{1-(-11)}{-1+7}\\\\=\frac{9-1}{3-(-1)}\\\\=\frac{11-9}{4-3}\\\\=\frac{17-11}{7-4}\\\\=2[/tex]

Equation of line will be

  ⇒y-(-11)=2×[x-(-7)]

  →y+11=2×(x+7)

 →y+11=2x+14

 →2x-y+14-11=0

→2x-y+3=0

 →y=2x+3

Option B