Math 1 Strand
Tie together notation, domain, range, key features, and comparisons across Math 1 functions.
Function questions often mix skills from the whole course. Students do best when they can name the input, output, family, and key features before choosing a strategy.
A function is a rule where each input has one output. In f(3)=8, the input is 3 and the output is 8.
Standards-Aligned Overview
Based on the Math 1 standards for function notation, domain, range, key features, and function comparison.
Understand that a function assigns each input in the domain exactly one output in the range.
Use function notation to evaluate linear, quadratic, and exponential functions and interpret outputs in context.
Analyze functions using graphs, tables, equations, and descriptions to identify key features.
Compare key features of two functions when they are shown in different representations.
Key Vocabulary
These terms support notation, graphs, tables, equations, and comparison questions.
A relationship where each input has exactly one output.
The set of input values for a function.
The set of output values for a function.
Notation such as f(x), read as f of x, that names the output for input x.
The value placed into a function. On a graph, it is usually the x-value.
The value produced by a function. On a graph, it is usually the y-value.
A point where a graph crosses an axis.
A function is increasing on an interval when the outputs rise as the inputs move left to right.
A function is decreasing on an interval when the outputs fall as the inputs move left to right.
The greatest output value on a graph or in a context.
The least output value on a graph or in a context.
How a graph behaves as the input values move far left or far right.
Student-Friendly Review
Start with the representation, then identify the feature the question is asking for.
A table or graph is a function only if each input has one output. Repeated outputs are allowed; repeated inputs with different outputs are not.
For f(x)=2x-5, find f(4) by replacing x with 4.
Intercepts, intervals, maximums, minimums, domain, and range can come from a graph, table, equation, or context.
When functions are shown differently, compare the same feature: value, rate, intercept, maximum, minimum, or long-term behavior.
Practice Questions
Start with DOK 1 fluency, then build toward applications, analysis, and EOC-style mixed practice.
Practice Set 1
Functions, notation, domain, range, and key features
Practice Set 2
Representation switching, contexts, and feature interpretation
Practice Set 3
Compare functions, critique reasoning, and justify conclusions
Practice Set 4
Function notation, tables, graphs, and family comparisons
Practice Set 5
Deeper domain, range, key features, and context decisions
Practice Set 6
A compact EOC-style readiness check