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LouisianaMaths

Functions

6 dot points across 6 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

What is the average rate of change of a function over an interval, and how do you compute it from a graph, table, or formula?

Calculate and interpret the average rate of change of a function over a specified interval (LA A1: F-IF.B.6).
A Louisiana LEAP 2025 Algebra I answer on average rate of change (LA A1: F-IF.B.6): the change in output over the change in input, computing it from a table or function, and interpreting it as a rate.
9 min answer →

How do you write a function that models a relationship between two quantities from a description, a table, or a graph?

Write a function that describes a relationship between two quantities, building a linear or exponential model from a context (LA A1: F-BF.A.1, F-LE.A.2).
A Louisiana LEAP 2025 Algebra I answer on building functions (LA A1: F-BF.A.1, F-LE.A.2): writing a linear or exponential rule from a context, table, or graph, and identifying the starting value and rate.
10 min answer →

How do linear, quadratic, and exponential functions differ, and how do you tell them apart from a graph, table, or context?

Distinguish linear, quadratic, and exponential functions by their rate of change and recognize that a quantity growing by a constant factor eventually exceeds one growing linearly (LA A1: F-LE.A.1, F-LE.A.3).
A Louisiana LEAP 2025 Algebra I answer on comparing function families (LA A1: F-LE.A.1, A.3): constant difference versus constant ratio versus constant second difference, and why exponential growth overtakes linear.
10 min answer →

What does function notation mean, how do you evaluate f(x), and how do you find the domain and range?

Understand function notation and evaluate functions, and determine the domain and range from a rule, a graph, or a table (LA A1: F-IF.A.1, F-IF.A.2, F-IF.B.5).
A Louisiana LEAP 2025 Algebra I answer on function notation, domain, and range (LA A1: F-IF.A): evaluating f(x), reading the domain and range from a graph or table, and the meaning of a function.
10 min answer →

How do you read the key features of a graph, intercepts, increasing and decreasing intervals, maximums and minimums, and explain them in context?

Interpret key features of a graph or table, intercepts, intervals of increase and decrease, maximums and minimums, and end behavior, in terms of the situation (LA A1: F-IF.B.4).
A Louisiana LEAP 2025 Algebra I answer on key features of graphs (LA A1: F-IF.B.4): x- and y-intercepts, increasing and decreasing intervals, maximum and minimum, and reading them in context.
10 min answer →

How do arithmetic and geometric sequences work, and how do you find a term using the reference-sheet formulas?

Recognize arithmetic and geometric sequences and find a term using the explicit formulas, connecting them to linear and exponential functions (LA A1: F-BF.A.2, F-IF.A.3).
A Louisiana LEAP 2025 Algebra I answer on sequences (LA A1: F-BF.A.2): common difference and common ratio, the explicit term formulas from the reference sheet, and the link to linear and exponential functions.
9 min answer →