make a table and graph some points for each function use -2,-1,0,1,and 2 for x
7. y = x + 2
8. y = x - 2
9. y = 2x
13. suppose a library charges a fine of $0.2 for each day a book is overdue. The function f = 0.25d shows how the number of day d relates to fine f. Make a table and graph he function.
math textbook
did you try to work it out? if so what your answer?
Sure! I'll be happy to help. Let's start by creating a table and graphing the points for each function using the given values of x.
For function 7, y = x + 2:
Table:
x | y
-2 | 0
-1 | 1
0 | 2
1 | 3
2 | 4
Graph:
(2,4)
(1,3)
(0,2)
(-1,1)
(-2,0)
For function 8, y = x - 2:
Table:
x | y
-2 | -4
-1 | -3
0 | -2
1 | -1
2 | 0
Graph:
(2,0)
(1,-1)
(0,-2)
(-1,-3)
(-2,-4)
For function 9, y = 2x:
Table:
x | y
-2 | -4
-1 | -2
0 | 0
1 | 2
2 | 4
Graph:
(2,4)
(1,2)
(0,0)
(-1,-2)
(-2,-4)
Now, for function 13, f = 0.25d:
Table:
d | f
0 | 0
1 | 0.25
2 | 0.5
3 | 0.75
4 | 1
Graph:
(4,1)
(3,0.75)
(2,0.5)
(1,0.25)
(0,0)
I hope this helps! Let me know if you have any further questions.
To create a table and graph for each function, you need to substitute the given values of x into the equations to find the corresponding values of y.
Let's solve each equation and create a table using the given values of x (-2, -1, 0, 1, and 2):
1. For the equation y = x + 2:
When x = -2, y = -2 + 2 = 0
When x = -1, y = -1 + 2 = 1
When x = 0, y = 0 + 2 = 2
When x = 1, y = 1 + 2 = 3
When x = 2, y = 2 + 2 = 4
Table:
x | y
----|----
-2 | 0
-1 | 1
0 | 2
1 | 3
2 | 4
2. For the equation y = x - 2:
When x = -2, y = -2 - 2 = -4
When x = -1, y = -1 - 2 = -3
When x = 0, y = 0 - 2 = -2
When x = 1, y = 1 - 2 = -1
When x = 2, y = 2 - 2 = 0
Table:
x | y
----|----
-2 | -4
-1 | -3
0 | -2
1 | -1
2 | 0
3. For the equation y = 2x:
When x = -2, y = 2(-2) = -4
When x = -1, y = 2(-1) = -2
When x = 0, y = 2(0) = 0
When x = 1, y = 2(1) = 2
When x = 2, y = 2(2) = 4
Table:
x | y
----|----
-2 | -4
-1 | -2
0 | 0
1 | 2
2 | 4
4. For the function f = 0.25d:
Here, d represents the number of days and f represents the fine amount.
When d = -2, f = 0.25(-2) = -0.5
When d = -1, f = 0.25(-1) = -0.25
When d = 0, f = 0.25(0) = 0
When d = 1, f = 0.25(1) = 0.25
When d = 2, f = 0.25(2) = 0.5
Table:
d | f
----|------
-2 | -0.5
-1 | -0.25
0 | 0
1 | 0.25
2 | 0.5
To create a graph for each function, plot the x-values on the x-axis and the corresponding y-values on the y-axis. Connect these points to form a line.
For example, to graph the equation y = x + 2, plot (x,y) points (-2,0), (-1,1), (0,2), (1,3), and (2,4). Connect these points with a line. Similarly, graph the other equations.
I hope this helps! Let me know if you have any further questions.