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FloridaMaths

Functions

5 dot points across 5 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you calculate the average rate of change of a function over an interval, and what does it mean in a real-world context?

Calculate and interpret the average rate of change of a function over a specified interval from a graph, a table, or an equation (MA.912.F.1.4).
A B.E.S.T. Algebra 1 EOC answer on average rate of change (MA.912.F.1.4), the change-in-output over change-in-input formula, reading it from tables and graphs, and interpreting it as a slope in context.
9 min answer →

How do you compare properties of two functions when they are given in different forms: equation, table, graph, or verbal description?

Compare key features (intercepts, rate of change, maximums, and minimums) of two functions each represented differently, such as one as an equation and one as a table or graph (MA.912.F.1.5).
A B.E.S.T. Algebra 1 EOC answer on comparing functions (MA.912.F.1.5), extracting slopes, intercepts, and maximums from equations, tables, and graphs, and comparing them when the two functions are shown in different forms.
9 min answer →

How do you use function notation, decide whether a relation is a function, and state the domain and range from a graph, table, or context?

Evaluate and interpret function notation, determine whether a relation is a function, and identify the domain and range of a function from multiple representations (MA.912.F.1.1, MA.912.F.1.2).
A B.E.S.T. Algebra 1 EOC answer on functions (MA.912.F.1), evaluating f(x), the vertical line test, and reading domain and range from graphs, tables, and real-world contexts, including discrete versus continuous.
10 min answer →

How do you identify and interpret the key features of a graph: intercepts, increasing and decreasing intervals, maximums and minimums, and end behavior?

Identify and interpret key features of a graph, including x- and y-intercepts, intervals where the function is increasing or decreasing, relative maximums and minimums, and end behavior, in terms of a context (MA.912.F.1.3).
A B.E.S.T. Algebra 1 EOC answer on key features (MA.912.F.1.3), reading intercepts, increasing and decreasing intervals, maximums and minimums, and end behavior from a graph and interpreting each in context.
10 min answer →

How do the constants in f(x) + k, f(x + h), and a times f(x) shift, stretch, and reflect the graph of a function?

Identify the effect on the graph of a function of replacing f(x) with f(x) + k, f(x - h), and a times f(x), including vertical and horizontal translations, stretches, compressions, and reflections (MA.912.F.2.1, MA.912.F.2.2).
A B.E.S.T. Algebra 1 EOC answer on transformations (MA.912.F.2), vertical and horizontal shifts, reflections across the axes, and vertical stretches and compressions, and why horizontal shifts move opposite to the sign.
10 min answer →