Assignment 3.2 (Algebra I)

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed. Examples include quadratic functions, exponential functions, and trigonometric functions.

Front

How can you identify a linear graph?

Back

A linear graph has a constant rate of change and forms a straight line. It can be identified by its equation in the form y = mx + b.

Front

How can you identify a nonlinear graph?

Back

A nonlinear graph does not have a constant rate of change and curves or bends. It can be identified by equations that include exponents, products of variables, or other non-linear terms.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is a discrete domain?

Back

A discrete domain consists of distinct, separate values. For example, the number of students in a class is discrete.

Front

What is a continuous domain?

Back

A continuous domain includes all values within a given range. For example, the height of students can take any value within a range.

Front

What does it mean for a function to be defined?

Back

A function is defined when there is a specific output for every input in its domain.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).