Understanding Function Graphs

The video tutorial explains how to complete a table using the function rule f(x) = √(x - 2) and sketch a graph based on the table. It emphasizes selecting non-negative X values, preferably perfect squares, to simplify calculations. The tutorial demonstrates substituting these values into the function to find corresponding Y values, which are then used to plot points on a graph. The video concludes by discussing the domain of the function, highlighting that X must be greater than or equal to zero.

What is the function rule used in this lesson?

• f(x) = x - 2

• f(x) = sqrt(x) - 2

• f(x) = x^2 + 2

• f(x) = 2x + 1

Why can't X be negative in this function?

• It would result in a negative Y value.

• It would make the function undefined.

• It would produce an imaginary number.

• It would make the graph a straight line.

Which of the following is a perfect square that can be used for X?

• 5

• 9

• 3

• 8

Why is it easier to select perfect squares for X?

• They make the graph linear.

• They simplify the calculation of Y values.

• They are the only values allowed.

• They make the graph symmetrical.

What is the Y value when X is 0?

• 2

• 1

• 0

• -2

What point is plotted on the graph when X is 4?

• (4, 0)

• (4, -2)

• (4, 2)

• (4, 1)

Which point represents the X-intercept on the graph?

• (4, 0)

• (1, -1)

• (0, -2)

• (9, 1)

What is the domain of the function in this lesson?

• X <= 0

• X >= 0

• X < 0

• X > 0

How is the domain expressed in interval notation?

• (0, ∞)

• [0, ∞)

• (0, 8]

• [0, 8]

What happens to the graph as X increases?

• It curves downwards.

• It remains constant.

• It curves upwards.

• It becomes a straight line.