Graphing Linear Functions and Step Sizes

The video tutorial explains how to graph step functions by adding numbers to them. It covers graphing functions like y = x + 3, y = x + 5, and y = x - 3, demonstrating how to identify patterns and use T-charts. The tutorial also explores the effects of multiplying inside the function and graphing with fractional multipliers, emphasizing the importance of understanding segment lengths and open circles in the graph.

What is the first step in graphing a step function?

• Find the y-intercept

• Identify the slope

• Set up a t-chart

• Draw a linear line

When graphing y = x + 3, what is the y-value when x = 0?

• 3

• 4

• 1

• 0

In the graph of y = x + 3, what happens between x = 0 and x = 1?

• The line is horizontal

• The line is diagonal

• The line is curved

• The line is vertical

What is the pattern for solid dots in the graph of y = x + 5?

• Up one, over one

• Up two, over two

• Up one, over two

• Up two, over one

How does the graph of y = x + 5 differ from y = x + 3?

• It is a vertical line

• It starts at a higher y-intercept

• It has a steeper slope

• It has a different pattern of open dots

What is the effect of a negative number inside the greatest integer function?

• It shifts the graph up

• It shifts the graph down

• It makes the graph steeper

• It makes the graph flatter

In the graph of y = x - 3, what is the y-value when x = 0?

• 3

• -3

• 0

• 1

How does multiplication inside the function affect the graph?

• It makes the graph vertical

• It makes the segments shorter

• It does not affect the segments

• It makes the segments longer

What happens to the segment length when multiplying by a larger number?

• The segment length decreases

• The segment length becomes infinite

• The segment length stays the same

• The segment length increases

How does a fraction inside the function affect the step size?

• It makes the step size smaller

• It makes the step size larger

• It makes the step size infinite

• It does not affect the step size