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Question 1 of 4
Graph the function
f(x)={2x+1,x<−11−x2,x≥−1
Incorrect
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PieceWise functions are a set of functions that share a common point
Use a table of values and test several values of x to get the value of y
Substitute the values of x to the respective functions to get their y values
| f(x) |
= |
{2x+1,x<−11−x2,x≥−1 |
x=-2
| f(x) |
= |
2x+1 |
1st function |
| f(-2) |
= |
2(-2)+1 |
|
= |
-4+1 |
|
= |
-3 |
x=-1
| f(x) |
= |
2x+1 |
1st function |
| f(-1) |
= |
2(-1)+1 |
|
= |
-2+1 |
|
= |
-1 |
| f(x) |
= |
1-x2 |
2nd function |
| f(-1) |
= |
1-(-1)2 |
|
= |
1-1 |
|
= |
0 |
x=0
| f(x) |
= |
1-x2 |
2nd function |
| f(0) |
= |
1-(0)2 |
|
= |
1 |
x=1
| f(x) |
= |
1-x2 |
2nd function |
| f(1) |
= |
1-(1)2 |
|
= |
1-1 |
|
= |
0 |
x=2
| f(x) |
= |
1-x2 |
2nd function |
| f(2) |
= |
1-(2)2 |
|
= |
1-4 |
|
= |
-3 |
| x |
-2 |
-1 |
0 |
1 |
2 |
| y |
-3 |
-1,0 |
1 |
0 |
-3 |
Next, plot the points on the graph.
Use empty dots for less than (<) values and filled dots for greater than or equal (≥) values
Finally, form the curve by connecting the points
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Question 2 of 4
Graph the function
f(x)={x2,x≤012x,x>0
Incorrect
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Progress: 0%
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PieceWise functions are a set of functions that share a common point
Use a table of values and test several values of x to get the value of y
Substitute the values of x to the respective functions to get their y values
x=-2
| f(x) |
= |
x2 |
1st function |
| f(-2) |
= |
(-2)2 |
|
= |
4 |
x=-1
| f(x) |
= |
x2 |
1st function |
| f(-1) |
= |
(-1)2 |
|
= |
1 |
x=0
| f(x) |
= |
x2 |
1st function |
| f(0) |
= |
02 |
|
= |
0 |
| f(x) |
= |
12x |
2nd function |
|
| f(0) |
= |
12(0) |
|
|
= |
0 |
x=1
| f(x) |
= |
12x |
2nd function |
|
| f(1) |
= |
12(1) |
|
|
= |
12 |
x=2
| f(x) |
= |
12x |
2nd function |
|
| f(2) |
= |
12(2) |
|
|
= |
1 |
| x |
-2 |
-1 |
0 |
1 |
2 |
| y |
4 |
1 |
0,0 |
12 |
1 |
Next, plot the points on the graph.
Use empty dots for greater than (>) values and filled dots for less than or equal (≤) values
Finally, form the curve by connecting the points
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Question 3 of 4
Graph the function
f(x)={x2,x≤12−x,x>1
Incorrect
Loaded: 0%
Progress: 0%
0:00
PieceWise functions are a set of functions that share a common point
Use a table of values and test several values of x to get the value of y
Substitute the values of x to the respective functions to get their y values
x=-2
| f(x) |
= |
x2 |
1st function |
| f(-2) |
= |
(-2)2 |
|
= |
4 |
x=-1
| f(x) |
= |
x2 |
1st function |
| f(-1) |
= |
(-1)2 |
|
= |
1 |
x=0
| f(x) |
= |
x2 |
1st function |
| f(-1) |
= |
(0)2 |
|
= |
0 |
x=1
| f(x) |
= |
x2 |
1st function |
| f(1) |
= |
12 |
|
= |
1 |
| f(x) |
= |
2-x |
2nd function |
| f(0) |
= |
2-1 |
|
= |
1 |
x=2
| f(x) |
= |
2-x |
2nd function |
| f(2) |
= |
2-2 |
|
= |
0 |
| x |
-2 |
-1 |
0 |
1 |
2 |
| y |
4 |
1 |
0 |
1,1 |
0 |
Next, plot the points on the graph.
Use empty dots for greater than (>) values and filled dots for less than or equal (≤) values
Finally, form the curve by connecting the points
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Question 4 of 4
Graph the function
f(x)={x2,x≤1x−1,x>1
Incorrect
Loaded: 0%
Progress: 0%
0:00
PieceWise functions are a set of functions that share a common point
Use a table of values and test several values of x to get the value of y
Substitute the values of x to the respective functions to get their y values
x=-1
| f(x) |
= |
x2 |
1st function |
| f(-1) |
= |
(-1)2 |
|
= |
1 |
x=0
| f(x) |
= |
x2 |
1st function |
| f(-1) |
= |
(0)2 |
|
= |
0 |
x=1
| f(x) |
= |
x2 |
1st function |
| f(1) |
= |
12 |
|
= |
1 |
| f(x) |
= |
x-1 |
2nd function |
| f(1) |
= |
1-1 |
|
= |
0 |
x=2
| f(x) |
= |
x-1 |
2nd function |
| f(2) |
= |
2-1 |
|
= |
1 |
x=3
| f(x) |
= |
x-1 |
2nd function |
| f(3) |
= |
3-1 |
|
= |
2 |
| x |
-1 |
0 |
1 |
2 |
3 |
| y |
1 |
0 |
1,0 |
1 |
2 |
Next, plot the points on the graph.
Use empty dots for greater than (>) values and filled dots for less than or equal (≤) values
Finally, form the curve by connecting the points
