Understanding Function Evaluation and Graphing

The video tutorial explains how to complete a table using the function rule f(x) = 3x - 2. It demonstrates the process of substituting different values of x into the function to find corresponding outputs, which are then interpreted as points on a graph. The tutorial covers specific examples for x values of -1, 0, 1, 2, and 3, showing how each substitution results in a point on the graph. The importance of understanding function notation and its graphical representation is emphasized.

What is the function rule used in the video?

• f(x) = 2x + 3

• f(x) = 3x - 2

• f(x) = x^2 - 2

• f(x) = 3x + 2

What is the output when x = -1 in the function f(x) = 3x - 2?

• 1

• -5

• -1

• -3

Which point is represented on the graph when x = -1?

• (-1, -3)

• (-1, -5)

• (1, -5)

• (1, 3)

What is the function value for x = 0?

• 2

• 3

• -2

• 0

Which point corresponds to x = 1 on the graph?

• (1, -1)

• (1, 0)

• (0, 1)

• (1, 1)

What is the output of the function when x = 2?

• 8

• 6

• 4

• 2

Which point is plotted on the graph for x = 2?

• (2, 6)

• (2, 4)

• (2, 8)

• (2, 2)

What is the function value for x = 3?

• 5

• 6

• 8

• 7

What is the main process used to evaluate the function in the video?

• Differentiation

• Substitution

• Integration

• Graphing