Range

High School

Definition

All the possible values specified within the highest and lowest number of a set. It is calculated by subtracting the highest value with the lowest value. In algebra, range refers to the Y - values on a graph, expression or function.

Worked examples

\(\)Data: \( 3, 7, 12, 5, 9 \quad \)Range\( = 12 - 3 = 9\)

Find the highest and lowest values in the set, then subtract lowest from highest.

\(f(x) = x^2 \) has range \( [0, \infty)\)

In algebra, range means all possible y-values; this parabola never goes below zero.

Common mistakes

\(\)Range\( = \)highest\( + \)lowest\(\) → \(\)Range\( = \)highest\( - \)lowest\(\) Range is the difference between extremes, not their sum.
\(\)Data: \( 2, 5, 5, 8 \quad \)Range\( = 5\) → \(\)Range\( = 8 - 2 = 6\) Use the actual highest and lowest values in the set, ignoring repeats.
confusing range (y-values) with domain (x-values) on a graph → range is the vertical span; domain is horizontal Range captures all output values; domain captures all input values.

Where you'll use it next

You'll use range in statistics to measure data spread, in graphing functions to identify vertical boundaries, and later in calculus and modeling to understand the behavior and limits of outputs.

Found in 1 StudyPug lesson

Master Domain and Range of Functions

Algebra 2

Unlock the power of domain and range in functions. Learn to analyze graphs, solve equations, and apply these essential concepts to real-world problems. Boost your algebra skills today!

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