Identifying and Analyzing Functions

The video tutorial covers section 9.6 on analyzing functions using successive differences. It explains linear, quadratic, and exponential functions, their graphs, and how to identify them using ordered pairs and successive differences. The tutorial also demonstrates writing equations for these functions and concludes with a review of key concepts.

What are the three types of functions discussed in Section 9.6?

• Linear, Quadratic, Exponential

• Linear, Logarithmic, Trigonometric

• Linear, Cubic, Logarithmic

• Quadratic, Cubic, Exponential

What is the general form of a linear function?

• y = ax^2 + bx + c

• y = a * b^x

• y = ax + b^2

• y = mx + b

What shape does the graph of a quadratic function form?

• A circle

• An S-curve

• A U-shaped parabola

• A straight line

Which function starts off small and grows rapidly?

• Exponential

• Logarithmic

• Quadratic

• Linear

How do you determine the type of function from ordered pairs?

• By finding the median

• By calculating the average

• By plotting them on an XY table

• By checking the slope

What does a graph of a straight line indicate?

• A linear function

• A quadratic function

• A logarithmic function

• An exponential function

What type of graph does a quadratic function produce?

• A straight line

• A U-shaped parabola

• A zigzag line

• A V-shaped graph

What are successive differences used for?

• To find the median

• To determine the type of function

• To calculate the average

• To find the slope

What indicates an exponential function when using successive differences?

• A constant slope

• A common difference

• A constant intercept

• A common ratio

What is the first step in identifying a linear function using successive differences?

• Check if the first differences are the same

• Check if the intercepts are the same

• Check if the second differences are the same

• Check if the ratios are the same