What is the domain of the following relation? (use correct notation) { (1, 3), (4, 5.5), (6, 9), (10, 0) }

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Presentation transcript:

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) = x 2 +6, evaluate g(-2).

g(-2)=(-2) 2 +6 = 4+6 = 10

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?

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?

D: [-10, 10]

What is the range of this relation?

R: [-2, 6]

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?

A function is a relation in which each x-value is paired with exactly one y-value