Page 1
What is the domain of the following relation? (use correct notation)
{ (1, 3), (4, 5.5), (6, 9), (10, 0) }
Page 2
What is the domain of the following relation? (use correct notation)
{ (1, 3), (4, 5.5), (6, 9), (10, 0) }
Answer: {1, 4, 6, 10}
Page 3
What is the range of the following relation? (use correct notation)
{ (1, 3), (4, 5.5), (6, 9), (10, 0) }
Page 4
What is the range of the following relation? (use correct notation)
{ (1, 3), (4, 5.5), (6, 9), (10, 0) }
Answer: {0, 3, 5.5, 9}
Page 5
Is the relation a function? Why or why not?
{ (1, 3), (4, 5.5), (6, 9), (10, 0) }
Page 6
Is the relation a function? Why or why not?
{ (1, 3), (4, 5.5), (6, 9), (10, 0) }
Yes- each x-value is paired with exactly one y-value
Page 7
Given the function g(x) = x2+6, evaluate g(-2).
Page 8
Given the function g(x) = x2+6, evaluate g(-2).
g(-2)=(-2)2 +6 = 4+6 = 10
Page 9
Given the function h(x) = x+6, evaluate h(a+4).
Page 10
Given the function h(x) = x+6, evaluate h(a+4).
h(a+4) = a+4+6 = a+10
Page 11
What is the name of the test we can use to identify if the graph of a relation is a function?
Page 12
What is the name of the test we can use to identify if the graph of a relation is a function?
Answer: Vertical line test
Page 13
Is the following relation a function?
Page 14
Is the following relation a function? No- fails vertical
line test
Page 15
What is the domain of this relation? (use correct
notation)
Page 16
What is the domain of this relation? (use correct
notation)D: [-5, 5]
Page 17
What is the range of this relation? (use correct
notation)
Page 18
What is the range of this relation? (use correct
notation)R: [-5, 5]
Page 20
Evaluate f(4)f(4)=3
Page 21
f(x)=5. Solve for x.
Page 22
f(x)=5. Solve for x.x=0
Page 24
Bottom right is a function
Page 25
What is the domain of this relation?
Page 26
What is the domain of this relation?D: [-10, 10]
Page 27
What is the range of this relation?
Page 28
What is the range of this relation?R: [-2, 6]
Page 30
Evaluate f(9)f(9)=-2
Page 31
What is the domain of this relation?
Page 33
What is the range of this relation?
Page 37
What is the definition of a function?
Page 38
What is the definition of a function?
A function is a relation in which each x-value is paired with exactly one y-value