Graphing Linear Functions and Properties

The video tutorial explains how to graph a piecewise function by breaking it down into individual functions with specific constraints. It covers graphing three separate functions: G(x) = -2 for X < -4, G(x) = x - 3 for -1 <= X <= 5, and G(x) = 2x - 15 for X > 7. Each function is graphed separately according to its constraints, and then combined to form the complete piecewise function.

What is a piecewise function primarily composed of?

• A function with a single variable

• A constant function

• A single function with no constraints

• A group of functions with constraints

For the function G(x) = -2, what is the constraint on x?

• x > -4

• x = -4

• x >= -4

• x < -4

How does the graph of G(x) = -2 appear on the XY plane?

• A vertical line at x = -2

• A horizontal line at y = -2

• A diagonal line with slope 1

• A curve

What is the y-intercept of the function G(x) = x - 3?

• 0

• -3

• 3

• 1

What is the slope of the function G(x) = x - 3?

• 0

• 1

• -1

• 2

For the function G(x) = x - 3, what is the range of x?

• -1 < x < 5

• x < -1

• -1 <= x <= 5

• x > 5

What is the y-intercept of the function G(x) = 2x - 15?

• -15

• 2

• 15

• 0

For the function G(x) = 2x - 15, what is the constraint on x?

• x < 7

• x > 7

• x = 7

• x <= 7

How does the graph of G(x) = 2x - 15 appear for x > 7?

• A diagonal line with positive slope

• A vertical line

• A horizontal line

• A curve

What is the slope of the line for the function G(x) = 2x - 15?

• -2

• 1

• 2

• 0