May 9, 2022 · Determine whether a relation represents a function. Find the value of a function. Determine whether a function is one-to-one. Use the vertical line test to identify functions. Graph the functions listed in the library of functions. A jetliner changes altitude as its distance from the starting point of a flight increases.

Another approach to representing linear functions is by using function notation. One example of function notation is an equation written in the form known as the slope-intercept form of a line, where x is the input value, m is the rate of change, and b …

Apr 1, 2025 · Function notation allows you to easily see the input value for the independent variable inside the parentheses. You can think of a function as a machine. You start with an input (some value), the machine performs the operations (it …

To graph a linear function we need to recall a fact from geometry. We will use the fact that any two points define a line. Thus to graph a linear function we need only find two solution points to the linear equation. There are many ways to accomplish this. Solution: We need to …

Figure \(\PageIndex{3}\): Finding the equation of a linear function with a graph that is a line between two given points. Find the slope of the line. Find an equation for this linear function in point-slope form. Find an equation for this linear function in slope-intercept form.

Determine whether a relation represents a function. Find the value of a function. Determine whether a function is one-to-one. Use the vertical line test to identify functions. Graph the functions listed in the library of functions. A jetliner changes altitude as its distance from the flight’s starting point increases.

This resource revises linear functions, graphs and equations and within linear functions, graphs and equations there are 3 key concepts: Solving linear equations and inequalities; Graphing linear functions; Solving simultaneous linear equations; To determine if this resource will benefit you, start by answering the following questions.

Evaluate a function and solve an equation using function notation. Perform calculations using function notation including Average Rate of Change. Translate problems from a variety of contexts into mathematical representation and vice versa (linear, exponential, simple quadratics).

Jun 23, 2018 · How do you use function notation to write the equation of the line with the slope of 2 and y-intercept of #(0,-6/7)#? How do you find a formula for the linear function with slope -5 and x intercept 8?

This section focuses on the key features and methods for working with linear graphs. It demonstrates how to sketch graphs from rules, derive rules from graphs, and calculate key features such as the gradient and \(x\)- and \(y\)- axis intercepts.