Functions and Graphs Overview

The individual or team responsible for overseeing the creation and development of a product, from conception to launch.

Involves preparing content for printing, such as formatting text and images.

The individual or team responsible for managing all aspects of production, including scheduling, budgeting, and quality control.

This refers to the process of creating and managing digital media assets, such as images, videos, and audio files.

Individuals who edit and improve the written content of a product, ensuring accuracy, clarity, and consistency.

The process of researching, sourcing, and obtaining permission to use copyrighted material, like images and text, in a publication or product.

The individual or team responsible for planning and executing photo shoots for publications or products.

The process of designing and creating visual elements, such as page layouts, graphics, and illustrations.

A relation where for every input (x-value), there is only one output (y-value).

A visual test to see if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not the graph of a function.

A relation where for at least one input (x-value), there are multiple outputs (y-values).

The set of all possible input values (x-values) for a function.

The set of all possible output values (y-values) for a function.

A method to determine if an equation defines a function by substituting different values for x and checking if there is only one corresponding value for y.

A way to represent a function visually using a graph. The x-axis represents the input values and the y-axis represents the output values.

A tool that can be used to graph functions and check if they pass the vertical line test.

The point at which the graph intersects the x-axis. This point is found by setting the function equal to zero and solving for x.

The point at which the graph intersects the y-axis. This point is found by setting x equal to zero and evaluating the function.

The value of the function f(x) when x is equal to a specific value.

A way of representing a function that involves substituting a specific value for the variable 'x' and evaluating the expression.

A representation of a function's relationship between input and output using a visual graph.

A function describes a relationship between two or more variables, where each input value (like depth of a mine) corresponds to a unique output value (like temperature).

A function equation is a mathematical statement that defines the relationship between input and output variables. It shows how to calculate the output based on the input value.

In function notation, T(x) represents the output value of the function T when the input is x. In this case, x represents the depth of the mine.

The value operation on the calculator uses the function equation to find the output for a specific input value.

The graph visually represents the relationship between the input and output values defined by the function. It helps you understand how the output changes with the input.

The value of T(3585) represents the temperature at the bottom of the East Rand mine, where the depth is 3585 meters.

The graph allows you to find the output value (temperature) by locating the point on the graph corresponding to the input value (depth).

In the game example, you're given a set of instructions to calculate a final number based on the original number you choose. This can be represented as a function where the original number is the input and the final number is the output.

A vertical line that the graph of a function approaches but never touches.

A function where the graph is a straight line.

A function where the graph is a smooth curve.

A function where the graph is a smooth curve that starts at a point and extends infinitely.

A function where the graph is in two parts, with a break in the middle.

A way to represent a function using a letter (like "f") followed by parentheses containing the input variable (like "x"), showing the relationship between input and output. For example, f(x) = 2x + 1 represents a function where the output is twice the input plus one.

The set of all possible input values for a function.

The set of all possible output values for a function.

A function that describes the shape of a parabola, often used to model curved shapes like arches.

A function that describes a pattern where each output depends on the previous output and a constant difference is added. It can be represented by a formula like f(x + 1) = f(x) + d, where d is the constant difference.