How To: Given a graph of a function, use the horizontal line test to determine if the graph represents a one-to-one function. Inspect the graph to see if any horizontal line drawn would …

In this section, we will dig into the graphs of functions that have been defined using an equation. Our first task is to work backwards from what we did at the end of the last section, and start …

Calculate the slope of a linear function and interpret its meaning. Recognize the degree of a polynomial. Find the roots of a quadratic polynomial. Describe the graphs of basic odd and …

This section analyzes the behavior of function graphs, including identifying intervals of increase or decrease, local maxima and minima, and symmetry. It also explores how to calculate and …

Mar 4, 2025 · Discover how to determine if a graph represents a function with our comprehensive guide. Learn key indicators like the vertical line test, domain and range analysis, and one-to …

Visualize the function graph to help identify the domain and range, especially for common function types. To find x x -intercepts, set the function equal to zero and solve for x x. To find the y y …

Oct 25, 2024 · Graphs of functions are visual representations of how one quantity depends on another. In simple terms, a graph shows the relationship between two variables: one variable …

Determine whether each graph is the graph of a function. We used the equation and its graph as we developed the vertical line test. We said that the relation defined by the equation is a …

Use the vertical line test to identify functions. Graph the functions in the library of functions. A jetliner changes altitude as its distance from the starting point of a flight increases. The weight …

Feb 1, 2024 · To graph a function, I begin by determining the domain and range, which are the set of all possible inputs (x-values) and outputs (y-values) respectively. With this foundation, I plot …