Graph the function by plotting the points and give its domain and range. $f ( x ) = - | x + 1 |$
A) D= the set of all real numbers less than or equal to 0 R= the set of all real numbers
B) D= the set of all real numbers greater than or equal to 1 R= the set of all real numbers less than or equal to 0
C) D= the set of all real numbers R= the set of all real numbers less than or equal to 0
D) D= the set of all real numbers greater than or equal to 1 R= the set of all real numbers
E) D= the set of all real numbers R= the set of all real numbers greater than or equal to 1

Question

Quizplus · Accepted Answer

To plot the graph, we can make a table of values:
|x| -1 | -2 | 0 | 1 |
|---|---|---|---|---|
|f(x)| 0 | -1 | -1 | -2 |

Plotting these points on a coordinate plane, we get a V-shaped graph that opens downwards.

The function has a domain of all real numbers, since we can input any value for x. However, the range is limited to values less than or equal to 0, since the absolute value of the function is always non-negative and we multiply by -1 to get the final output.

Graph the Function by Plotting the Points and Give Its f(x)=−∣x+1∣f ( x ) = - | x + 1 |f(x)=−∣x+1∣

Graph the Function by Plotting the Points and Give Its $f ( x ) = - | x + 1 |$