Equations and Function Notation

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols, typically written as f(x), where f is the function name and x is the input.

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the input value into the function's equation.

Front

What is the slope of a line?

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you determine the slope from an equation in slope-intercept form?

Back

In the equation y = mx + b, m represents the slope.

Front

What does it mean if a line has an undefined slope?

Back

A line has an undefined slope if it is vertical, meaning it goes straight up and down.

Front

What is the difference between a positive and negative slope?

Back

A positive slope indicates that as x increases, y also increases; a negative slope indicates that as x increases, y decreases.

Front

How do you evaluate a function for a negative input?

Back

Substitute the negative input value into the function's equation and simplify.

Front

What is the standard form of a linear equation?

Back

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