Graphing Absolute-Value Functions
Graph absolute value functions by identifying the vertex, plotting points, and drawing the V-shaped graph. Analyze transformations in Grade 9 algebra.
Key Concepts
New Concept A function whose rule has one or more absolute value expressions is called an absolute value function . The absolute value parent function is $f(x) = |x|$. What’s next Next, you’ll see how changing simple values in the function's equation predictably moves the graph on the coordinate plane.
Common Questions
What key features help you graph graphing absolute-value functions?
Identify intercepts, slope or vertex, and key points. Plot them systematically and connect to show the complete shape of the graph.
How do you find x-intercepts when graphing?
Set y = 0 and solve for x. These crossing points are critical for understanding the function's behavior and finding solutions.
What does the graph reveal about this topic?
Graphs show solutions visually as intercepts or intersection points, reveal the number of solutions, and display trends equations alone do not show.