Understanding Linear and Exponential Functions

The video tutorial explains how to determine if a table models a linear or exponential function by analyzing patterns in function values. Linear functions show repeated addition or subtraction, while exponential functions show repeated multiplication or division. The tutorial uses two tables to illustrate these concepts and demonstrates how to graphically represent the functions to verify their types.

What is the main task described at the beginning of the video?

• To memorize function values

• To fill in missing function values and determine the function type

• To solve a complex equation

• To draw a graph of a function

In the first table, what pattern is identified in the function values?

• Repeated addition

• Repeated subtraction

• Repeated division

• Repeated multiplication

What type of function is represented by the first table?

• Linear function

• Logarithmic function

• Exponential function

• Quadratic function

In the second table, what pattern is identified in the function values?

• Repeated multiplication

• Repeated subtraction

• Repeated division

• Repeated addition

What type of function is represented by the second table?

• Linear function

• Quadratic function

• Exponential function

• Logarithmic function

How can subtraction be expressed to identify a linear function?

• As subtraction of a positive number

• As addition of a negative number

• As repeated multiplication

• As repeated division

What indicates an exponential function in terms of patterns?

• Repeated subtraction

• Repeated squaring

• Repeated multiplication or division

• Repeated addition

What indicates a linear function in terms of patterns?

• Repeated squaring

• Repeated division

• Repeated multiplication

• Repeated addition or subtraction

What shape does the graph of an exponential function typically form?

• A circle

• A parabola

• A straight line

• A curve

What shape does the graph of a linear function typically form?

• A parabola

• A circle

• A curve

• A straight line