#math test prep

Functional mathematics refers to the practical application of mathematical concepts in real-life situations. It focuses on developing problem-solving skills that help individuals manage everyday tasks, make informed decisions, and improve efficiency in personal, academic, and professional settings.

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Logarithmic Function

Form: f(x)=log⁡ax

Example: f(x)=log⁡2x

Common in simplifications, logarithm rules, and data analysis.

Absolute Value Function

Form: f(x)=∣x∣

Example: f(x)=∣x−3∣

What is differentiation in calculus?

Differentiation is the process of finding the derivative of a function, which represents the rate at which the function's value changes with respect to its input.

What is the derivative of a function?

The derivative of a function f(x) at a point is the slope of the tangent line to the graph of the function at that point. It measures how the function's output changes as its input changes.

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What are the basic rules of differentiation?

Functional mathematics refers to the practical application of mathematical concepts in real-life situations. It focuses on developing problem-solving skills that help individuals manage everyday tasks, make informed decisions, and improve efficiency in personal, academic, and professional settings.

LEARN ABOUT EASY TIPS AND TRICKS FOR MATHS 👈.

Greatest Integer Function

Form: f(x)=⌊x⌋

Example: f(3.7)=3, f(−2.3)=−3.

Appears in number theory and real analysis problems.

Smallest Integer Function (Ceiling Function)

Form: f(x)=⌈x⌉

Example: f(2.4)=3, f(−1.6)=−1

Basic Math and Arithmetic

Math is super important for the Armed Services Vocational Aptitude Battery especially if you're aiming for a high score or a specific job in the military. Arithmetic Reasoning including Word problems involving basic math, percentages, ratios, time, distance.

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The doctor orders 500 mg of a medication. The available tablet is 250 mg. How many tablets do you give? A. 1 B. 2 C. 1.5 D. 2.5 Answer: B. 2

Order: 1,000 mL IV over 8 hours. What is the rate in mL/hour? A. 100 B. 125 C. 120 D. 130 Answer: B. 125

You need to administer 0.5 g of a drug. The vial says 250 mg/mL. How many mL will you give? A. 1 mL B. 2 mL C. 2.5 mL D. 0.5 mL Answer: B. 2 mL

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