Question

Write a rule for the function X -2 -1 0 1 2 Y 1/121 1/11 1 11 121

Answer 1

Answer:

$y=\frac{1330}{121}x+1$

Step-by-step explanation:

Linear functions are represented by the following equation:

$\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{ rate of change} \\ b=\text{ y-intercept} \end{gathered}$

The rate of change of a function is represented as follow:

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \end{gathered}$

Given the points: (-2, 1/121) and (-1, 1/11):

$\begin{gathered} m=\frac{\frac{1}{11}-\frac{1}{121}}{-1-(-2)} \\ m=\frac{\frac{1330}{121}}{1} \\ m=\frac{1330}{121} \end{gathered}$

*Remember the y-intercept is when x=0. then the y-intercept of the function is 1.

Hence, the function is represented as.

$y=\frac{1330}{121}x+1$