Identifying and Analyzing Functions

This video tutorial explains how to identify and model linear, quadratic, and exponential functions using tables of values. It covers the process of finding common differences for linear functions, second differences for quadratic functions, and multiplication patterns for exponential functions. The video also demonstrates how to write equations for each function type by determining key parameters like slope, y-intercept, and common ratio.

What are the three types of functions discussed in the video?

• Quadratic, Exponential, and Logarithmic

• Linear, Quadratic, and Polynomial

• Linear, Quadratic, and Exponential

• Linear, Exponential, and Logarithmic

How can you identify a linear function from a table of values?

• By checking if the x-values are increasing by a constant

• By checking if the y-values are decreasing by a constant

• By checking if the y-values are increasing by a constant

• By checking if the x-values are decreasing by a constant

What is the form of a linear function?

• y = ax^2 + bx + c

• y = a * b^x

• y = ax^3 + bx^2 + cx + d

• y = mx + b

What does the 'm' represent in the linear equation y = mx + b?

• The x-intercept

• The slope

• The constant term

• The y-intercept

How do you find the y-intercept of a linear function from a table?

• By finding the average of all y-values

• By finding the x-value when y is zero

• By finding the y-value when x is zero

• By finding the average of all x-values

What indicates a quadratic function when analyzing differences?

• Third differences are constant

• No differences are constant

• Second differences are constant

• First differences are constant

What is the general form of a quadratic function?

• y = ax^3 + bx^2 + cx + d

• y = mx + b

• y = a * b^x

• y = ax^2 + bx + c

How do you determine the 'a' value in a quadratic function?

• By using the fourth differences

• By using the third differences

• By using the second differences

• By using the first differences

What pattern indicates an exponential function?

• Division pattern

• Subtraction pattern

• Multiplication pattern

• Addition pattern

What is the general form of an exponential function?

• y = ax^3 + bx^2 + cx + d

• y = mx + b

• y = a * b^x

• y = ax^2 + bx + c