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Diagram:
Diagram:
Diagram:
Diagram:
To plot the graph, we have to calculate some points that fall on it.
x | 3x−62 | y |
---|---|---|
-1 | 3(-1)−62 | -0.22 |
0 | 3(0)−62 | -0.33 |
1 | 3(1)−62 | -0.67 |
1.5 | 3(1.5)−62 | -1.33 |
2.5 | 3(2.5)−62 | 1.33 |
3 | 3(3)−62 | 0.67 |
4 | 3(4)−62 | 0.33 |
5 | 3(5)−62 | 0.22 |
By marking the points in our coordinate plane, we can draw the function.
Commutative Property of Addition
Factor out -4
Put minus sign in numerator
ba=b/4a/4
a=a+0
To plot the graph, we have to calculate some points that fall on the graph.
x | 2−4x1 | y |
---|---|---|
-2 | 2−4(-2)1 | 0.1 |
-1 | 2−4(-1)1 | 0.17 |
0 | 2−4(0)1 | 0.5 |
0.25 | 2−4(0.25)1 | 1 |
0.75 | 2−4(0.75)1 | -1 |
1 | 2−4(1)1 | -0.5 |
2 | 2−4(2)1 | -0.17 |
3 | 2−4(3)1 | -0.1 |
By marking the points in our coordinate plane, we can draw the function.
Commutative Property of Addition
Factor out a minus sign
Put minus sign in front of fraction
Rewrite -3 as 2−5
Write as a difference of fractions
Calculate quotient
Distribute -1
Commutative Property of Addition
a=-(-a)
Add parentheses
To plot the graph, we have to calculate some points that fall on the graph.
x | x+23−x | y |
---|---|---|
-6 | -6+23−(-6) | -2.25 |
-5 | -5+23−(-5) | -2.67 |
-4 | -4+23−(-4) | -3.5 |
-3 | -3+23−(-3) | -6 |
-2.5 | -2.5+23−(-2.5) | -11 |
-1.5 | -1.5+23−(-1.5) | 9 |
-1 | -1+23−(-1) | 4 |
0 | 0+23−0 | 1.5 |
1 | 1+23−1 | 0.67 |
By marking the points in our coordinate plane, we can draw the function.
To plot the graph, we have to calculate some points that fall on the graph.
x | x−11 | y |
---|---|---|
-2 | -2−11 | -0.33 |
-1 | -1−11 | -0.5 |
0 | 0−11 | -1 |
0.5 | 0.5−11 | -2 |
1.5 | 1.5−11 | 2 |
2 | 2−11 | 1 |
3 | 3−11 | 0.5 |
4 | 4−11 | 0.33 |
By marking the points in our coordinate plane, we can draw the function.