Exploring LT 4.2 Concepts

The video tutorial covers learning target 4.2, focusing on identifying functions through equations, tables, and graphs. It begins with an introduction problem involving humpback whales and progresses to explaining linear functions with examples, including a swimming pool problem. The tutorial also discusses non-linear functions and how to identify graphs as functions using the vertical line test. It concludes with drawing linear function graphs and a fun brainteaser.

What is the main characteristic of a function as described in the introduction?

• Each input has exactly one output.

• Each input has multiple outputs.

• Each output has multiple inputs.

• Each output has exactly one input.

How many miles do the humpback whales travel per day on average?

• 28 miles

• 30 miles

• 29 miles

• 27 miles

What is the equation form of a linear function?

• y = mx^3 + b

• y = mx + b

• y = mx^2 + b

• y = m/x + b

In the swimming pool example, what is the starting value (y-intercept) of the function?

• 720 gallons

• 10,000 gallons

• 2,000 gallons

• 8,000 gallons

What is the slope of the function in the swimming pool example?

• 10,000 gallons per hour

• 8,000 gallons per hour

• 720 gallons per hour

• 2,000 gallons per hour

What is the main difference between the two linear functions discussed in the lesson?

• One has a positive slope and the other has a negative slope.

• One starts at the origin and the other does not.

• One is a function and the other is not.

• One is linear and the other is non-linear.

What type of graph is created by the relationship between the side length of a square and its area?

• Linear

• Non-linear

• Exponential

• Logarithmic

What is the vertical line test used for?

• To determine if a graph represents a function.

• To determine the slope of a graph.

• To determine if a graph is non-linear.

• To determine if a graph is linear.

Which of the following graphs would not pass the vertical line test?

• A parabola

• A hyperbola

• A circle

• A straight line

What is the answer to the brainteaser: 'It comes once in a minute, twice in a week, and once in a year'?

• The letter 'E'

• The letter 'A'

• The letter 'M'

• The letter 'W'