Q13. - Algebra 2

Question

Graph each equation or inequality

$13. f\left(x\right)=\left[\left[3x\right]\right]+3$

Step-by-Step Solution

Answer

he graph of the equation $f\left(x\right)=\left[\left[3x\right]\right]+3$ is

Step-1 – Apply the concept of greatest integer function

The greatest integer function, written as $f\left(x\right)=\left[\left[x\right]\right]$ is defined as the greatest integer less than or equal to x.

For examples, $\left[\left[-262\right]\right]=-262,\left[\left[3.51\right]\right]=3,\left[\left[-2.35\right]\right]=-3$

Step-2 – Make a Table of values

Make a table of values such that the values satisfy the equation $f\left(x\right)=\left[\left[3x\right]\right]+3$.

Choose a value of x and find the corresponding value of $f\left(x\right)$.

Step-3 – Graph the tabled values

By using the values in the table, graph the equation.