Understanding Linear Functions and Graphs

What is the equation of the linear function presented?

• f(x) = 3x + 6

• f(x) = -3x + 6

• f(x) = 6x - 3

• f(x) = -6x + 3

In the context of the graph, where the y-axis represents 'Distance from home' and the x-axis represents 'Number of mins', what does the point (0, 6) signify?

• The person is 6 units of distance from home at the start (0 minutes).

• The person travels 6 units of distance in 0 minutes.

• The person is 0 units of distance from home after 6 minutes.

• The person travels 0 units of distance in 6 minutes.

What is the slope of the linear function f(x) = -3x + 6?

• 3

• 6

• -3

• -6

What is the domain of the linear function as represented by the graph?

• [0, 6]

• [0, 2]

• [-3, 6]

• All real numbers

What does the y-intercept (0,6) represent in the context of the graph?

• The person is 6 units away from home at the start.

• The person reaches home in 6 minutes.

• The person travels 6 units per minute.

• The person is 0 units away from home at the start.

What does the x-intercept (2,0) signify in the context of the graph?

• The person is 2 units away from home after 0 minutes.

• The person reaches home in 2 minutes.

• The person travels 2 units per minute.

• The person starts 2 units away from home.

What is the domain of the function shown in the graph?

• [0, 6]

• [0, 2]

• (-∞, +∞)

• [2, 0]

What does the slope of -3 mean in the context of the graph?

• The person is moving 3 units further from home per minute.

• The person is moving 3 units closer to home per minute.

• The person starts 3 units away from home.

• The person reaches home in 3 minutes.