What is the domain of the following relation? (use correct notation) { (1, 3), (4, 5.5), (6, 9),...
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Transcript of What is the domain of the following relation? (use correct notation) { (1, 3), (4, 5.5), (6, 9),...
What is the domain of the following relation? (use correct notation)
{ (1, 3), (4, 5.5), (6, 9), (10, 0) }
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}
What is the range of the following relation? (use correct notation)
{ (1, 3), (4, 5.5), (6, 9), (10, 0) }
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}
Is the relation a function? Why or why not?
{ (1, 3), (4, 5.5), (6, 9), (10, 0) }
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
Given the function g(x) = x2+6, evaluate g(-2).
Given the function g(x) = x2+6, evaluate g(-2).
g(-2)=(-2)2 +6 = 4+6 = 10
Given the function h(x) = x+6, evaluate h(a+4).
Given the function h(x) = x+6, evaluate h(a+4).
h(a+4) = a+4+6 = a+10
What is the name of the test we can use to identify if the graph of a relation is a function?
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
Is the following relation a function?
Is the following relation a function? No- fails vertical
line test
What is the domain of this relation? (use correct
notation)
What is the domain of this relation? (use correct
notation)D: [-5, 5]
What is the range of this relation? (use correct
notation)
What is the range of this relation? (use correct
notation)R: [-5, 5]
Evaluate f(4)
Evaluate f(4)f(4)=3
f(x)=5. Solve for x.
f(x)=5. Solve for x.x=0
Bottom right is a function
What is the domain of this relation?
What is the domain of this relation?D: [-10, 10]
What is the range of this relation?
What is the range of this relation?R: [-2, 6]
Evaluate f(9)
Evaluate f(9)f(9)=-2
What is the domain of this relation?
D: [-5, ∞)
What is the range of this relation?
R: (- ∞, 5]
Evaluate f(3)
f(3)=2
What is the definition of a function?
What is the definition of a function?
A function is a relation in which each x-value is paired with exactly one y-value