Identifying Functions: Relations
Is it Rational or Irrational?
Identifying Functions: Graphs
Is it Rational or Irrational 2?
Identifying Functions: Tables and Maps
100
True or False?
A relation is a set of graphs.
False!
A relation is a set of ordered pairs.
100
Classify as Rational or Irrational.
sqrt25
Rational!
= 5
100
What test do we use to see if a graph is a function?
Vertical Line Test!
100
Classify as Rational or Irrational.
0.25
Rational!
It is an ending decimal.
100
True or False:
For a relation to be a function, we cannot have any repeating y-values.
False! We cannot have repeating x-values! Repeating y-values are fine!
200
Is this relation a function?
{(1, 3), (2, 5), (3, 7), (-2, 3)}
Yes!
200
Classify as Rational or Irrational.
sqrt2 + sqrt4
Irrational
= 3.41421356.......
200
Can a circle or oval graph be a function?
No, it will fail the Vertical Line Test and hit the graph in more than one place!
200
Classify as Rational or Irrational.
2/4 + 1/6
Rational!
2/3
200
Is this relation a function?
No, when x = 6, y = 1 or y =3
300
Determine if the relation {(1, 2), (1, 3), (2, 4)} is a function.
No.
When x = 1, y = 2 or y = 3
300
Classify as Rational or Irrational.
0.333333333
Rational!
It is a repeating decimal.
300
Is this graph a function?
Yes it is a function!
300
Is
10/sqrt2 = 5sqrt2
Yes!
Check both and see if their decimals are equivalent!
300
Is the following a function?
No! All x-values (input) are repeating!
400
Is the following a function?
{-2, 7, 3, -4, 1, 0, -8}
No!!!! These are not coordinates/ordered pairs so they cannot be a function!
400
Does the following result in a rational or irrational number?
5*sqrt5
Irrational!
= 11.1803399...
400
Is this relation a function?
Yes, it passes the Vertical Line Test!
400
Is the sum rational or irrational?
-4+1/3 sqrt900
Rational!
= 6
400
Is the following a function?
Yes! All inputs have one output!
500
Explain the difference between a relation and a function. Give a short example of each.
Your answer should include that a relation is a set of ordered pairs, whereas a function is a relation with no repeating x-values!
500
Is the result of y - w a rational number?
y = 3sqrt2 and w = 2sqrt8
No! It is irrational.
= -1.414221356...
500
Is this graph a function?
No, it fails the Vertical Line Test
500
Is the sum of
2sqrt54 and 2sqrt6 = 8sqrt6
Yes!
500
Create a table that is a function.
Answers must have no repeating x-values.