Algebra 1 Worksheet 3.2 Flashcards

Function Definitions and Evaluations

• f(c) = 1.25c + 2.50 represents a linear function for the variable c.
• f(4) = 7.50 shows the output of the function when c is substituted with 4.
• f(t) = 65t + 4.50 is another linear function, useful for calculating costs associated with t tickets.

Sequence of Whole Numbers

• Whole numbers are non-negative integers including 0: {0, 1, 2, ...}.

Monetary Values in a Series

• The sequence of values $2.50, $3.75, $5.00, $6.25 indicates the increasing cost in consistent increments.

Operations on Functions

• Subtraction of $4.50 transaction fee impacts the total cost, followed by division by the cost per ticket to determine ticket quantity, as seen with 7 tickets.

Output Values for Polynomial Functions

• For the function defined by f(1)=1, f(3)=9, and f(5)=81, outputs show exponential growth.
• For f(1)=5, f(3)=21, and f(5)=53 indicates another polynomial function with different growth characteristics.

Square Roots in Function Outputs

• The outputs f(1)=2√2, f(3)=√10, and f(5)=2√3 represent the function evaluations leading to square root results.

Algebraic Solutions to Equations

• Solutions x=2, x=3, x=4 show specific outputs for a quadratic or similar equation.
• x = √6, x = 3, x = 2√3 are roots of a different equation governing real number solutions.

Roman Numerals

• VII (7), IV (4), VIII (8), VI (6), II (2), V (5), I (1), III (3) represent the integers using Roman numeral notation.

Function and Output Context

• The function f(m) = 34500 - 2300m calculates a decreasing output based on the variable m.
• An answer of 18,400 feet suggests a quantity related to a physical measurement.
• A duration of 15 minutes signifies a time-related solution derived from the context of the functions.

Measurement in Inches

• f(w) = 1.5w defines a function to convert 'w' into another measurement.
• The outputs of 144 inches and 64 inches likely correlate with specific dimensions or physical attributes in a given context.