Identifying Linear and Exponential Functions

The video tutorial teaches how to identify linear, exponential, and quadratic functions by examining tables of values. Linear functions are identified by constant differences in y-values, exponential functions by constant ratios, and quadratic functions by constant second differences. The video provides examples for each type and encourages viewers to engage with the content by leaving comments or questions.

What is the main goal of the video tutorial?

• To learn how to graph functions.

• To determine the type of function from a table.

• To solve quadratic equations.

• To understand the history of mathematics.

What indicates a linear function in a table of values?

• Constant addition or subtraction of the same number.

• Doubling of values.

• Random changes in values.

• Constant multiplication by a negative number.

If the y-values in a table are 11, 8, 5, 2, -1, what type of function is represented?

• None of the above

• Exponential

• Linear

• Quadratic

What is the first step in identifying a linear function?

• Look for a constant addition or subtraction.

• Ensure all values are negative.

• Check for constant multiplication.

• Calculate the second difference.

What is the pattern in the sequence 5, 10, 15, 20?

• Addition of 5

• Subtraction of 5

• Multiplication by 5

• Multiplication by -5

What is a key characteristic of an exponential function in a table?

• Constant addition of the same number.

• Multiplication or division by the same number.

• Constant subtraction of the same number.

• Random changes in values.

In the sequence 1, -2, 4, -8, 16, what operation is consistently applied?

• Addition of 3

• Multiplication by -2

• Subtraction of 3

• Division by 2

What is the pattern in the sequence 1, -2, 4, -8, 16?

• Addition of 2

• Multiplication by -2

• Multiplication by 2

• Subtraction of 2

What is the first step in identifying an exponential function?

• Calculate the second difference.

• Check for constant addition.

• Ensure all values are positive.

• Look for a constant multiplication or division.

What is the pattern in the sequence 2, 4, 8, 16?

• Addition of 2

• Subtraction of 2

• Multiplication by 2

• Multiplication by -2