Exploring Linear Functions: Proportionality, Affine, and Constant Types

The video tutorial by Susi introduces different types of linear functions: proportional, affine, and constant. It explains how to represent these functions graphically, focusing on their slopes and characteristics. Proportional functions pass through the origin, affine functions have an additional constant term, and constant functions are parallel to the x-axis. The video also demonstrates how to create tables of values to plot these functions and discusses the properties of parallel and perpendicular lines. The tutorial concludes with a call to action for viewers to engage with the channel.

What is the slope of a function that passes through the point (0,0)?

• 1

• Depends on the function

• 0

• Undefined

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What does the 'm' in the linear function equation represent?

• Y-intercept

• X-intercept

• Slope

• Constant term

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What characteristic do all linear functions share?

• They all pass through the origin

• They all have a slope of 1

• They are represented as a line

• They all have a y-intercept of 0

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What type of linear function does not have a slope?

• Constant function

• Proportional function

• Affine function

• None of the above

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If a linear function's slope is negative, in which direction does it go?

• Upwards from left to right

• Downwards from left to right

• Horizontal

• Vertical

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What happens to the graph of a function if the slope is positive?

• It remains constant

• It moves downwards from left to right

• It moves upwards from left to right

• It becomes a vertical line

What is the ordinate at the origin in an affine function?

• The slope

• The x-intercept

• The y-intercept

• The constant term

If two affine functions have the same slope, what is true about their graphs?

• They are perpendicular

• They are parallel

• They are identical

• They intersect at the origin

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How are constant functions represented graphically?

• As a horizontal line

• As an upward sloping line

• As a downward sloping line

• As a vertical line

What does it mean if a linear function is 'constant'?

• Its slope is 0

• Its slope changes over time

• Its x-value changes with y

• Its y-value changes with x

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