Graphing Linear Functions and Their Properties

The video tutorial explains how to graph the linear function f(x) = 5x - 4 by sampling points from the domain. The instructor demonstrates setting up a graph, choosing x values, calculating corresponding f(x) values, and plotting these points. By connecting the plotted points, a straight line is formed, illustrating the function's graph. The tutorial emphasizes that the function is defined for all real numbers and any point on the line can be calculated using the function.

What is the first step in graphing the function f(x) = 5x - 4?

• Draw the x-axis

• Sample points from the domain

• Find the y-intercept

• Calculate the slope

What type of numbers are chosen for sampling the domain?

• Large numbers

• Negative numbers only

• Small magnitude numbers

• Positive numbers only

What is the value of f(x) when x = -2?

• -4

• -14

• -10

• 0

What is the y-value when x = 0 for the function f(x) = 5x - 4?

• 0

• -4

• 5

• 4

What is the point plotted on the graph when x = 1?

• (1, 5)

• (1, 0)

• (1, 1)

• (1, -4)

What is the value of f(x) when x = 2?

• 4

• 6

• 10

• 2

What shape does the graph of f(x) = 5x - 4 form when the points are connected?

• A parabola

• A straight line

• A curve

• A circle

What is the domain of the function f(x) = 5x - 4?

• All real numbers

• Only integers

• All negative numbers

• All positive numbers

If x = 1.5, where would the point lie on the graph?

• Below the line

• On the line

• Off the graph

• Above the line

What is the significance of connecting the dots on the graph?

• It indicates the function is linear

• It determines the slope

• It shows the function is quadratic

• It helps find the maximum value