By definition, we have that the average rate of change is given by:
[tex] AVR = \frac{y2-y1}{x2-x1} [/tex]
Substituting values we have:
[tex] AVR = \frac{3-1}{0-(-4)} [/tex]
Rewriting we have:
[tex] AVR = \frac{2}{0+4} [/tex]
[tex] AVR = \frac{2}{4} [/tex]
[tex] AVR = \frac{1}{2} [/tex]
Therefore, the graph that has an AVR of 1/2 is the graph of the linear function.
Answer:
graph shows a rate of change of 1/2 is the linear function
