Question

X values:−10,−3-, 4, 11

Answer 1

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

$m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{6-1}{-3+10}\\m=\frac{5}{7}$

$\\m = \frac{y_3-y_2}{x_3-x_2}\\m = \frac{30-6}{4+3}\\m=\frac{24}{7}$

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, $\frac{y_2}{y_1}=\frac{6}{1}=5\\\frac{y_3}{y_2}=\frac{30}{6}=6\\\frac{y_4}{y_3}=\frac{120}{30}=4$

Since the ratio of consecutive outputs is not constant.

So, It is not exponential

Hence it is neither linear nor exponential.