WIN TIME: Functions Recap Flashcard

Front

What is the rate of change in a function?

Back

The rate of change in a function describes how much the output (y-value) changes for a given change in the input (x-value). It is often represented as the slope of the line in linear functions.

Front

What is a linear function?

Back

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

Front

What is a y-intercept?

Back

The y-intercept is the point where a graph crosses the y-axis. It is the value of y when x is 0.

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

How do you determine if a function is linear or nonlinear from a table of values?

Back

If the differences between consecutive y-values are constant for equal changes in x-values, the function is linear. If the differences vary, it is nonlinear.

Front

Write the equation for a function that represents a monthly salary of $1,000 plus $150 for each item sold.

Back

y = 1000 + 150x

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

What is the difference between the x-intercept and y-intercept?

Back

The x-intercept is the point where the graph crosses the x-axis (y=0), while the y-intercept is where it crosses the y-axis (x=0).

Front

How can you represent a real-world situation with a linear equation?

Back

You can represent a real-world situation with a linear equation by identifying the fixed amount (y-intercept) and the variable amount per unit (slope) in the context of the situation.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.