Quadrants
What quadrant is (4, 5) located in?
y = 3x + 4
Is (10, 2) a solution to this equation?
No
When given a picture of a graph, what is the rule for telling whether the graph shows a function or not?
If you draw a vertical line and it crosses through the graph more than once, the graph does not show a function.
Is (18, 2) a solution of y = 8x + 2?
No
Name one thing that could be represented and one thing that could not be represented on a discrete graph.
Could be represented: money, number of items, population, etc. (anything that only goes up or down by specific intervals and is not gradual)
Could not be represented: altitude, temperature, volume, etc (anything that has to go up or down gradually and not in intervals)
What quadrant is (6, -17) located in?
Quadrant IV
Provide an ordered pair which is a solution to this equation:
y = 2x + 8
any response in which 2 times the x, plus eight more, equals the y.
Do these ordered pairs indicate a function? Why or why not?
(4, 5)
(4, -5)
(5, -6)
There are two 4s as X's and they have different Y values.
Come up with an equation that represents the following values:
x: 1, 4, 7, 11
y: -2, 1, 4, 8
y = x - 3
If speed is represented on the y-axis and time on the x-axis, what does a line with an upward slope represent?
acceleration/getting faster
y = 2x.
y = -8
In what quadrant will you find this coordinate?
Quadrant III
Assuming that y = 3x + 5, give ordered pairs for each of the given values of y.
y = 17
y = 29
(4, 17)
(8, 29)
List the coordinates of two points that fall on the graph y = -17x + 3
Any coordinates in which the x value times -17, plus 3 more, equals the y.
x: 2, 3, 6, 7
y: 8, 12, 24, 28
y = 4x
The books cost $8 each. The cost, c, of n books can be calculated using the equation c = $8n. Use an ordered pair to give the cost of 10 books.
(10, 80)
y = -5x + 7
(-9, 52) (-7, 42) (-5, 32) (-3, 12) (-1, 12)
Which quadrant will the NEXT set of coordinates fall in?
Quadrant I (The next set of coordinates will be (1, 2).
any coordinate in which x times -5, minus 3, equals y.
If the values of x are 2, 4, 6, and 8, which of the following sets is a function of x?
a) 5, 13, 27, 93
b) -2, -4, -8, -10
c) 11, 23, 35, 47
c) 11, 23, 35, 47
x: 100, 200, 300, 350
y: 190, 390, 590, 690
y = 2x - 10
If distance is represented on the y-axis and time is represented on the x-axis, what does a line with a downward slope represent?
As time goes on, the object is moving closer.
y = -6x -3
(-3, 15) (-2, 9) (-1, 3) (0, -3)
Which quadrant would the NEXT ordered pair be in?
Quadrant IV (the next set of coordinates, will be 1, -9)
Distance, in miles, is represented on the y-axis. Time, in minutes, is represented on the x-axis. If someone is driving at 60 miles per hour, name a coordinate that would be on that graph.
(any coordinate in which x = y and both values are positive)
If the values of x are 1, 4, 9, and 21 which of the following represents a function?
a) 2, -8, 18, -42
b) 7, 16, 31, 67
c) 3, 6, 9, 12
b) 7, 16, 31, 67
The function is y = 3x + 4
Come up with an equation that represents the following values:
x: 5, 8, 13, 22
y: 11, 20, 35, 62
y = 3x - 4
You can rent an alligator for $30 a month, plus the initial fee of $572. The cost, c, of renting an alligator for n months can be calculated using the equation c = $30n + $572. Use an ordered pair to show the cost of renting an alligator for 8 months.
(8, 812)