Understanding Linear Functions and Graphing

The video tutorial explains how to graph a linear function using a T-table and the function rule f(x) = -3x + 5. It demonstrates selecting x-values, performing substitutions, and calculating corresponding y-values to plot points on a graph. The tutorial also covers graphing using the slope-intercept form, highlighting the y-intercept and slope for faster plotting. The video concludes with a brief mention of graphing other types of functions using similar methods.

What is the function rule given in the video?

• f(x) = -2x + 5

• f(x) = -3x + 5

• f(x) = 2x + 5

• f(x) = 3x - 5

What is the y-value when x = -1 in the function f(x) = -3x + 5?

• 5

• 2

• 8

• 0

Which point is plotted on the graph when x = 0?

• (0, 5)

• (0, 0)

• (0, 3)

• (0, -5)

What is the y-coordinate for x = 2 in the function f(x) = -3x + 5?

• -3

• 3

• 1

• -1

How many points are used to visualize the linear graph in the video?

• Five

• Four

• Three

• Six

What is the slope of the line in the function f(x) = -3x + 5?

• -5

• 5

• -3

• 3

What is the y-intercept of the function f(x) = -3x + 5?

• -3

• -5

• 3

• 5

How can the slope be used to plot additional points on the graph?

• Move down 3 units and left 1 unit

• Move up 3 units and right 1 unit

• Move down 3 units and right 1 unit

• Move up 3 units and left 1 unit

What is the alternative method mentioned for graphing the line without a T-table?

• Using the midpoint formula

• Using the quadratic formula

• Using the slope-intercept form

• Using the distance formula

What is the next topic mentioned after graphing linear functions?

• Graphing polynomial functions

• Graphing several other types of functions

• Graphing exponential functions

• Graphing quadratic functions