Exploring Functions, Domain, and Range

The video tutorial covers key mathematical concepts including domain and range, distinguishing between functions and relations, solving linear equations, and plotting points on a graph. It also explores quadratic functions and their graphical representations. The tutorial uses examples and visual aids to explain these concepts, ensuring a comprehensive understanding of the material.

What is the domain of the given set of x values?

• 1, 2, 3, 4

• 2, 3, 4

• 1, 3, 4

• 1, 2, 3

Which of the following is the correct range from the given values?

• -5, -4, -3, -2

• -5, -4, -3, -1

• -4, -3, -2, -1

• -5, -3, -2, -1

What does it mean if a vertical line intersects a graph at more than one point?

• The graph is quadratic

• The graph is linear

• The graph represents a relation

• The graph represents a function

Why is the given set of points not a function?

• The points form a curve

• The points form a straight line

• There are multiple y values for a single x value

• Each x value has a unique y value

What is the value of f(-2) for the given function?

• 8

• 5

• 3

• 11

If g(x) = 2x - 18 and g(x) = 10, what is the value of x?

• 14

• 8

• 10

• 9

What is the value of the function at x = -1 for the given table?

• 1

• 3

• 5

• -1

What is the y value when x = 0 for the given function?

• -1

• 2

• 0

• 1

What type of function is represented by the points plotted from the table?

• Cubic

• Exponential

• Quadratic

• Linear

What is the y value when x = 2 for the quadratic function?

• 5

• 1

• 7

• 3