Linear and Exponential Functions

This video tutorial provides an overview of linear, quadratic, and exponential functions, comparing their equations, graphs, and patterns. It explains how to identify these functions from tables and real-life situations, highlighting key features such as constant differences and ratios. The video also discusses graph characteristics, including x-intercepts and y-intercepts, and offers practical examples to help recognize these functions in everyday contexts.

What is the primary focus of this lesson?

• Graphing linear functions

• Comparing different types of functions

• Solving equations

• Understanding calculus concepts

Which form represents a linear function?

• y = mx + b

• y = ax^2 + bx + c

• y = a * b^x

• y = a(x - h)^2 + k

What is the shape of the graph of a linear function?

• An exponential curve

• A straight line

• A circle

• A parabola

Which feature is constant in a linear function?

• First difference

• Common ratio

• Second difference

• Vertex

What is the standard form of a quadratic function?

• y = ax^2 + bx + c

• y = a * b^x

• y = mx + b

• y = a(x - h)^2 + k

What is the shape of a quadratic function's graph?

• A parabola

• An exponential curve

• A circle

• A straight line

How can you identify a quadratic function from a table?

• No pattern

• Constant first difference

• Constant ratio

• Constant second difference

What is the general form of an exponential function?

• y = a(x - h)^2 + k

• y = a * b^x

• y = ax^2 + bx + c

• y = mx + b

What is the key feature of an exponential function's pattern?

• No pattern

• Constant ratio

• Constant second difference

• Constant first difference

Which function has a graph that is a straight line?

• None of the above

• Exponential

• Quadratic

• Linear