Function Notation and Evaluating Functions

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

What does f(2) represent in function notation?

Back

f(2) represents the output of the function f when the input x is equal to 2.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the input variable into the function's equation and simplify.

Front

What is the difference between a function and a non-function?

Back

A function assigns exactly one output for each input, while a non-function may assign multiple outputs for a single input.

Front

What is the general form of a linear function?

Back

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

Front

How do you find the slope of a linear function?

Back

The slope of a linear function is found by calculating the change in the y-values divided by the change in the x-values between two points on the line.

Front

What does it mean for a table of values to represent a function?

Back

A table of values represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What is the output of the function g(x) = 3x + 1 when x = 2?

Back

The output is g(2) = 3(2) + 1 = 7.

Front

What is the process for determining if a relation is a function?

Back

To determine if a relation is a function, check if any input value is associated with more than one output value.

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, indicating the output value when the input is zero.