This video tutorial covers the concept of functions, explaining their characteristics and how to determine if a relation is a function. It introduces function notation and provides real-life examples, such as a vending machine analogy. The tutorial also explains the vertical line test for identifying functions on a graph. In the second part, it focuses on evaluating functions with given values, using examples to demonstrate the process.

What is a function in mathematical terms?

• A relation where each element of the range is paired with exactly one element of the domain.

• A relation where each element of the domain is paired with exactly one element of the range.

• A relation where elements of the range can be paired with multiple elements of the domain.

• A relation where elements of the domain can be paired with multiple elements of the range.

Tags

CCSS.8.F.A.1

In the vending machine example, what happens if you press the button labeled 'W'?

• You get a bottle of Gatorade.

• You get a bottle of Pepsi.

• You get a bottle of orange soda.

• You get a bottle of water.

How do you read the function notation f(x)?

• f divided by x

• f times x

• f of x

• f plus x

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the input in the function notation f(x)?

• f

• x

• y

• f(x)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Which of the following is true for a relation to be a function?

• None of the x-values can repeat.

• Both x and y values can repeat.

• Only y-values can repeat.

• None of the y-values can repeat.

Tags

CCSS.8.F.A.1

What does the vertical line test determine?

• If a graph is a function.

• If a graph is linear.

• If a graph is quadratic.

• If a graph is continuous.

In the vertical line test, what indicates that a graph is not a function?

• The vertical line touches the graph at only one point.

• The vertical line does not touch the graph.

• The vertical line touches the graph at exactly two points.

• The vertical line touches the graph at more than one point.

What is the value of f(3) if the function is defined as f(x) = 3x - 2?

• 9

• 5

• 7

• 11

Tags

CCSS.HSF.IF.A.2

What is the value of f(-2) if the function is defined as f(x) = 3x - 2?

• -4

• -10

• -6

• -8

Tags

CCSS.HSF.IF.A.2

If h(z) = z^2 - 4z + 9, what is h(-3)?

• 45

• 27

• 33

• 39

Tags

CCSS.HSF.IF.A.2