Understanding Function Values from a Graph

The video tutorial explains how to determine function values from a graph using function notation. It provides examples of finding the y-values for given x-values, such as F(-4), F(1), and F(6), by locating the x-value on the x-axis and identifying the corresponding y-value on the graph. The tutorial emphasizes understanding the relationship between x and y coordinates in function notation.

What does the input value in function notation represent?

• The y-coordinate

• The intercept of the graph

• The x-coordinate

• The slope of the graph

If F(-4) = 3, what does this tell us about the graph?

• The graph is horizontal at x = -4

• The graph has a slope of 3 at x = -4

• The graph passes through the point (-4, 3)

• The graph has an intercept of 3

How do you find the function value for a given x-coordinate on a graph?

• By identifying the y-coordinate at that x-coordinate

• By finding the slope at that point

• By finding the intercept

• By calculating the area under the curve

What is the function value of F(1) according to the graph?

• 1

• 0

• 1/2

• 2

What does the point (1, 1/2) represent on the function graph?

• The maximum value of the function

• The intercept of the function

• The slope of the function

• A point on the function

What is the y-coordinate when x = 6 on the graph?

• 0

• -2

• 6

• 2

If F(6) = -2, what does this indicate about the graph?

• The graph is increasing at x = 6

• The graph is horizontal at x = 6

• The graph has a slope of -2 at x = 6

• The graph passes through the point (6, -2)

What is the significance of the y-coordinate in function notation?

• It represents the intercept

• It represents the slope

• It represents the output value

• It represents the input value