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Introduction to Functions - Assignment
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The table below represents an object thrown into the air.
Is the situation a function?
Yes, because each input has exactly one output.
Identify which of the following equations represent functions. Select all that apply.
y = 4x + 13
x = 5
x2 + y2 = 16
y2 = x - 6
y = 3x2 - x - 1
y = 4x + 13 and y = 3x^2 - x - 1
A relation is given below.
{(0, 0), (2, 0.5), (4, 1), (3, 1.5), (4, 2), (5, 1.5), (6, 8)}
Which ordered pair can be removed to make this relation a function?(0,0)(4,1)(3, 1.5)(6, 8)
Why would removing this ordered pair make the relation a function?
Which ordered pair can be removed to make this relation a function? (4,1)
Why would removing this ordered pair make the relation a function? Every input must be paired with exactly one output.
Determine which of the following are functions. Select all that apply.
A and D.
When given a graph, the vertical line test can be used to determine functionality. Describe the vertical line test and explain the reasons why a graph would, or would not, represent a function.
The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
Use the vertical line test to determine which graph does not represent a function.
Graph B
Compare these two scenarios.
Which scenario, A or B, represents a function?
A
The altitude of an airplane is represented in the graph below.
Is the airplane's altitude a function of time?
Yes, because any input of time results in only one output of altitude.
Yes, because the airplane increases and decreases in altitude at the same rate.
No, because each output of altitude has more than one input of time.
No, because the altitude is constant between 60 minutes and 130 minutes.
Yes, because any input of time results in only one output of altitude.
Read the situations below and determine which relationship is not functional.
Situation 1: a cell phone bill to the amount of minutes used
Situation 2: the perimeter of a square to the length of one of the sides of a square
Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned
Situation 123 does not represent a function.
This is because A cell phone bill is unrelated to the amount of minutes used.A given side length of a square could have a range of perimeters.The same number of credit cards can have different totals..
3 and The same number of credit cards can have different totals..
When comparing prices for activities at a local recreation center, you notice that the center charges different prices on different days of the week. For example, riding a go-kart costs $10 on Saturday and Sunday and $5 on Monday through Friday.
Is the cost a function of the activity type? Explain why or why not.
The activity type would be the input and the cost would be the output. Because there are two different costs for the same activity, this would not be a function.
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