Comparing Linear, Exponential, and Quadratic Functions

The video tutorial explains how to compare functions by identifying them as linear, exponential, or quadratic. It covers checking patterns in tables of values, identifying equations and real-life situations, and comparing functions using tables and graphs. The tutorial also discusses calculating slopes and y-intercepts to determine the greatest rate of change and where functions are equal.

What pattern in the table of values indicates an exponential function?

• Consistent second differences

• Multiplication pattern for f(x) values

• Constant subtraction across x values

• Constant addition across x values

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CCSS.HSF-LE.A.1A

What is the defining characteristic of a linear function's table of values?

• Multiplication pattern for f(x) values

• A constant slope

• Variable slope

• Consistent second differences

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CCSS.HSF.LE.A.2

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What pattern in x values typically indicates a linear function?

• Variable addition

• Constant addition

• None of the above

• Constant multiplication

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CCSS.HSF-LE.A.1B

How is a quadratic function identified through its table of values?

• Through addition patterns in f(x) values

• By consistent second differences

• Through multiplication patterns

• By a constant slope

Which example illustrates an exponential situation?

• Adding a constant number to x values

• The height of a skier's jump

• Earning a percentage raise each year

• Earning a fixed amount for each chore completed

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CCSS.HSF-LE.A.1A

How can you identify an exponential function from a situation description?

• By identifying a fixed increase

• By noticing a percentage increase

• Through constant subtraction

• None of the above

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CCSS.HSF-LE.A.1A

Which function type is represented by a parabola on a graph?

• Linear

• Exponential

• Quadratic

• None of the above

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What indicates a function has the greatest rate of change?

• Consistent second differences

• A negative slope

• The highest positive slope value

• A slope of zero

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CCSS.HSF-LE.A.1B

Which function has a lesser y-intercept, based on the given examples?

• Cannot be determined

• Both have the same y-intercept

• The function with a y-intercept of 0, 16

• The function with a y-intercept of 0, -9

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At what point do the functions f(x) and g(x) equal each other?

• They never equal each other

• (0, 16)

• (0, -9)

• (5, 1)

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