Question

Which rules define the function graphed below ?

Answer 1

Answer:

Hence, the rules to graph are:

$y=2x+3,y=\dfrac{-1}{3}\times x+3$

Step-by-step explanation:

We are asked to find the rule of the function graphed.

Clearly we see that the graph is formed with the help of two lines.

• First line which passes through (-3,-3) and (0,3)

• Second line which passes through (0,3) and (3,2)

We know that equation of a line passing through two points (a,b) and (c,d)  is calculated as:

$y-b=\dfrac{d-b}{c-a}\times (x-a)$

• Now equation of first line is calculated as:

$y-(-3)=\dfrac{3-(-3)}{0-(-3)}\times (x-(-3))\\\\\\y+3=\dfrac{3+3}{0+3}\times (x+3}\\\\y+3=\dfrac{6}{3}\times (x+3}\\\\y+3=2\times (x+3}\\\\y+3=2x+6\\\\y=2x+6-3\\\\y=2x+3$

• Now equation of second line is calculated as:

$y-3=\dfrac{2-3}{3-0}\times (x-0)\\\\\\y-3=\dfrac{-1}{3}\times x\\\\y=\dfrac{-1}{3}\times x+3$

Hence, the rules to graph are:

$y=2x+3,y=\dfrac{-1}{3}\times x+3$

Answer 2

Answer:

Step-by-step explanation:

your answer would be A