Comparing Linear, Exponential and Quadratic Functions

The video tutorial explains how to compare speeds using linear, quadratic, and exponential functions. It discusses the characteristics of each function type, including their graphical representations and mathematical forms. The tutorial also covers the concept of first and second differences to identify function types and provides examples using tables of values.

Which type of function is represented by a straight line on a graph?

• Exponential function

• Logarithmic function

• Quadratic function

• Linear function

What is the main characteristic of an exponential function?

• It has a constant rate of change.

• It decreases linearly.

• It forms a U-shaped curve.

• It increases at a constant ratio.

Which function type is characterized by a U-shaped graph?

• Logarithmic function

• Exponential function

• Quadratic function

• Linear function

In the equation y = ax^2 + bx + c, what does 'c' represent?

• The y-intercept

• The common ratio

• The axis of symmetry

• The slope

What is the common ratio in an exponential function?

• The difference between consecutive y-values

• The y-intercept of the function

• The factor by which y-values increase

• The slope of the function

What are first differences used to identify?

• The y-intercept of a function

• The type of function

• The common ratio of an exponential function

• The slope of a linear function

How can you identify a quadratic function using differences?

• By finding a constant slope

• By finding constant first differences

• By finding constant second differences

• By finding a constant ratio