Identifying Linear and Exponential Functions

The video tutorial explains the differences between linear and exponential functions using graphs, equations, and tables. Linear functions are characterized by a constant rate of change, forming a straight line on a graph, and are represented by equations in the form y = mx + b. Exponential functions, on the other hand, show a variable rate of change, often starting slow and increasing rapidly, or vice versa, and are represented by equations where the variable is in the exponent. The video also demonstrates how to identify these functions using tables, highlighting the constant rate of change in linear functions and the multiplicative pattern in exponential functions.

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

• Linear and Quadratic

• Quadratic and Cubic

• Linear and Exponential

• Exponential and Quadratic

What is a key characteristic of a linear function's graph?

• It forms a curve.

• It has a variable rate of change.

• It starts steep and levels off.

• It has a constant rate of change.

Which of the following is NOT a characteristic of a linear function?

• Has a constant rate of change

• Forms a straight line

• Can be represented by y = mx + b

• Variable is in the exponent

How does an exponential function's rate of change behave?

• It is always zero.

• It starts small and increases.

• It decreases over time.

• It remains constant.

What happens to the rate of change in an exponential function as it progresses?

• It becomes zero.

• It increases.

• It decreases.

• It remains constant.

What is the standard form of a linear equation?

• y = a^x

• y = ax^2 + bx + c

• y = ax + b^x

• y = mx + b

What is a key feature of a linear equation?

• It has a variable rate of change.

• It forms a curve.

• It has a constant rate of change.

• The variable is in the exponent.

In an exponential equation, where is the variable typically found?

• In the constant term

• As a coefficient

• In the exponent

• In the base

Which equation represents an exponential function?

• y = 5x - 4

• y = x^2 + 3x + 1

• y = 2^x

• y = 3x + 2

Which of the following is a feature of exponential functions?

• They have a constant rate of change.

• They have a variable in the exponent.

• They form a straight line.

• They are always decreasing.