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Fall 2024 Algebra 2 Semester Exam

Fall 2024 Algebra 2 Semester Exam

Assessment

Flashcard

Mathematics

11th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the decreasing interval on a function?

Back

The decreasing interval is the range of x-values where the function's output decreases as x increases. For example, if a function decreases from negative infinity to -3, the decreasing interval is (-∞, -3).

2.

FLASHCARD QUESTION

Front

Describe the end behavior of a polynomial function.

Back

The end behavior of a polynomial function describes how the function behaves as x approaches positive or negative infinity. For example, if as x → ∞, f(x) → ∞ and as x → -∞, f(x) → ∞, the function rises on both ends.

3.

FLASHCARD QUESTION

Front

How do you find the composition of functions f(g(x))?

Back

To find f(g(x)), first evaluate g(x) for a specific x-value, then substitute that result into f(x). For example, if f(x) = 2x and g(x) = 2x^2 - 1, then f(g(3)) = f(2(3)^2 - 1) = f(17) = 34.

4.

FLASHCARD QUESTION

Front

What are natural numbers?

Back

Natural numbers are the set of positive integers starting from 1, 2, 3, and so on. They do not include zero or negative numbers.

5.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function in vertex form?

Back

The vertex of a quadratic function in the form y = a(x-h)^2 + k is the point (h, k). For example, in y = (x-3)^2 + 5, the vertex is (3, 5).

6.

FLASHCARD QUESTION

Front

What is the definition of a polynomial function?

Back

A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. For example, f(x) = 2x^3 - 3x + 5 is a polynomial function.

7.

FLASHCARD QUESTION

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as a fraction of two integers (e.g., 1/2, 3, -4), while irrational numbers cannot be expressed as a simple fraction (e.g., √2, π).

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