Flashcards
Math
Flashcards do conjunto (19)
- 1Since each phone number on the Favorites list is linked to a person, this is considered aRelation.
- 2A relation isA way in which things are paired together, connected, or related.
- 3A relation can be represented in a variety of ways—A context (situation), a set of ordered pairs, in a table, on a graph, or as an equation.
- 4A function is a special type of relation that follows this rule: for every input, there is exactly _________One output.
- 5If the input value repeats and is paired with more than one output, then the relation is ________.Not a function.
- 6Input a 2, and out comes a 5. Input a 3, and the output is 6. Input a 4 and the output is 7. What’s the function rule here?This machine takes the input value and then adds three to create the output value.
- 7In math, sometimes "x" represents inputs and "y" represents outputs.With that in mind, this machine’s function rule reads: "y equals x plus three."
- 8If the input values repeat and are paired with more than one output, then it is _____NOT a function.
- 9Function: Input Output −4 −4 2 0 6 4 10 2 {(−4, −4), (2, 0), (6, 4), (10, 2)}Notice that each value in the input column appears only once. Each input value shown has only one output value.
This is a function! - 10Not a Function Input Output 9 3 9 −3 4 2 5 −2 {(9, 3), (9, −3), (4, 2), (5, −2)}Notice that one of the values in the input column appears twice with different outputs. Nine has more than one output value.
This is not a function! - 11Using the graph above, determine the ordered pairs that define the relation. What are the inputs and outputs for the relation? Is the relation a function? Why or why not?The relation would be {(−8, 1), (−4, −3), (−4, 3), (3, 3), (6, 6)}. The inputs would be {−8, −4, 3, 6} and the outputs would be {−3, 1, 3, 6}.
No, the relation is not a function. One of the input values, −4, is paired with more than one output value, −3 and 3. - 12Given the relation y = x2 + 3x + 2, find the outputs for x = −2, −1, 0, 1, and 2.If x = −2, then y = 0.
If x = −1, then y = 0.
If x = 0, then y = 2.
If x = 1, then y = 6.
If x = 2, then y = 12.
Is the relation a function for the given inputs? Yes. - 13What is similar and what is different when you look at the graph and the table below? A scatterplot is shown. Data points are located at 1 comma 1, 2 comma 2, 3 comma 3, 4 comma 4, 5 comma 5. The x-axis is labeled as “day of the bake sale” and the y-axis is “cakes sold”. Day of the Bake Sale Cakes Sold 1 1 2 2 3 3 4 4 5 5Both of these data displays contain the same information. On day 1, 1 cake was sold. On day 2, 2 cakes were sold, and the number of cakes continues to increase each day. You could use either the table or the graph to predict how many cakes would be sold on day 6 of the bake sale too!
- 14What would happen if, instead of showing the graph or the table, you had an algebraic equation to work with? Look at the graph and table again, but now compare them to the equation shown: Graph A scatterplot is shown. Data points are located at 1 comma 1, 2 comma 2, 3 comma 3, 4 comma 4, 5 comma 5. The x-axis is labeled as “day of the bake sale” and the y-axis is “cakes sold”.Table
Day of the Bake Sale Cakes Sold
1 1
2 2
3 3
4 4
5 5
Equation
y=1x - 15Try using one input point that all the pairs have in common. Let’s use x = 4. On the graph, when x = 4, y = 4. A scatterplot is shown. The x axis has units of 1 from 0 to 8. The y axis has units of 1 from 0 to 7. There are points at 1 comma 1, 2 comma 2, 3 comma 3, 4 comma 4, 5 comma 5 and 6 comma 6. The point at 4 comma 4 is shown in red. On the table, when the input = 4, the output = 4. Day of the Bake Sale Cakes Sold 1 1 2 2 3 3 4 4 5 5For the equation, substitute 4 in the place of x to find the y value.
y = 1x
y = 1(4)
y = 4
So in the equation, when x is 4, y is also 4.
The graph, table, and equation all represent the same function. - 16For option 1, substitute the value of 11 for x, the number of books Madeleine plans to buy. y = 1 + 16.95(x − 1) y = 1 + 16.95(11 − 1) y = 1 + 16.95(10) y = 1 + 169.50 y = $170.50For option 2, extend the table of values up to 11 books, and then add up the total cost.
Book Purchase Number Price per Book (in dollars)
1 22
2 20
3 18
4 16
5 14
6 10
7 10
8 10
9 10
10 10
11 10
22 + 20 + 18 + 16 + 14 + 10 + 10 + 10 + 10 + 10 + 10 = $150
Option 1: $170.50 Option 2: $150.00
If Madeleine plans to buy 11 books, she will pay less with the second option than the first. - 17Rate of changeA measurement of the change in variables over a specific period of time; a measure of output value changes in comparison to input value changes
rate of change =
change in y
----------------------
change in x - 18—This function has a rate of change of
2
-------
1
, or just 2, because to move from one point to the next you move up 2 spaces and right 1 space.
up 2
---------------
right 1
=
2
---------
1
=2 - 19—Function 1
Start by counting to find the rate of change in function 1.
The rate of change of Function 1 is
up 0
right 1
=
0
1
, or 0.
Function 2
y = 2x + 1
In an equation, the rate of change is the number before the x variable; this function has a rate of change of positive 2.
So the rate of change for Function 2 is 2 more than the rate of change in Function 1.
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- FlashCards sobre Math, criado por lightningshockva em 04-04-2016.
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- lightningshockva
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