Function Notation

Front

What is function notation?

Back

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

Front

How do you evaluate a function at a specific input?

Back

To evaluate a function at a specific input, substitute the input value into the function's equation and simplify to find the output.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form of a linear function is f(x) = mx + b, where m represents the slope and b represents the y-intercept.

Front

How do you find the x-value when given a function value?

Back

To find the x-value when given a function value, set the function equal to that value and solve for x.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, representing the output value when the input is zero.

Front

What does the term 'domain' refer to in a function?

Back

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

Front

What does the term 'range' refer to in a function?

Back

The range of a function refers to the set of all possible output values (f(x) values) that the function can produce.

Front

How can you determine if a function is increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase, and it is decreasing if its output values fall as the input values increase.

Front

What is the process for solving a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using algebraic operations such as addition, subtraction, multiplication, or division.