Question

Create a table of values and sketch a graph of the piecewise function. Be sure to use the correct notation to indicate any start/end points on your graph.Label your x and y axis with your increments.Identify the domain and range using interval notation. f(x) = \left\lbrace \begin{array}{cc} 2x-1 & x<1 \\ x+1 & x\ge 1 \end{array}\right.

Answer 1

Given:

The function is,

`f(x)=\begin{cases}2x-1,x<1 \\ x+1,x\ge1\end{cases}`

Step-by-step explanation:

Determine the table for peicewise function.

x f(x)

-2 -5

0 -1

1 2

2 3

4 5

Plot the function by joining points.

The function is defined for all value of x. So domain of the function is,

`\mleft\lbrace x|x\in R\mright\rbrace`

The function value is less than 1 or greater than or equal to 1. So range of function is,

`\mleft\lbrace y|y<1\cup y\ge2\mright\rbrace`