Respuesta :
Answer:
It is neither linear nor exponential.
Step-by-step explanation:
x values: −10,−3, 4, 11
y values: 1, 6, 30, 120
Slope = rate of change
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{6-1}{-3+10}\\m=\frac{5}{7}[/tex]
[tex]\\m = \frac{y_3-y_2}{x_3-x_2}\\m = \frac{30-6}{4+3}\\m=\frac{24}{7}[/tex]
Since rate of change is not constant . So, It is not linear
If the average rate of change is constant, then the function is linear.
If the ratio of consecutive outputs is constant, then the function is exponential.
So, [tex]\frac{y_2}{y_1}=\frac{6}{1}=5\\\frac{y_3}{y_2}=\frac{30}{6}=6\\\frac{y_4}{y_3}=\frac{120}{30}=4[/tex]
Since the ratio of consecutive outputs is not constant.
So, It is not exponential
Hence it is neither linear nor exponential.
