Understanding Linear Functions

The video tutorial explains how to analyze a linear function, specifically f(x) = 2x, by identifying its slope and intercepts. It describes the slope-intercept form of a linear function and demonstrates how to find the slope and vertical intercept. The tutorial also shows how to plot the vertical and horizontal intercepts on a graph and how to graph the line using the slope. The video concludes with a visual representation of the line passing through the calculated points.

What is the given linear function in the video?

• f(x) = 2x + 1

• f(x) = 3x

• f(x) = x + 2

• f(x) = 2x

In the slope-intercept form of a linear function, what does 'm' represent?

• The constant term

• The slope

• The horizontal intercept

• The vertical intercept

What is the slope of the function f(x) = 2x?

• 1

• 0

• 3

• 2

What is the vertical intercept of the function f(x) = 2x?

• (0, 2)

• (2, 0)

• (1, 0)

• (0, 0)

Where is the horizontal intercept of the function f(x) = 2x located?

• (1, 0)

• (0, 0)

• (2, 0)

• (0, 2)

What is the ordered pair for the origin?

• (1, 1)

• (0, 0)

• (0, 1)

• (1, 0)

How can the slope of 2 be expressed as a fraction?

• 1/2

• 0/2

• 2/1

• 2/0

What does the numerator of the slope fraction indicate?

• The vertical change

• The horizontal change

• The intercept

• The constant term

What does the denominator of the slope fraction indicate?

• The vertical change

• The intercept

• The horizontal change

• The constant term

What is the method used to graph the line of the function f(x) = 2x?

• Using the intercepts

• Using the rise over run method

• Using the quadratic formula

• Using the midpoint formula