## Questions and Answers

What family does a Linear function belong to?

What family does a Quadratic function belong to?

What family does an Absolute Value function belong to?

What family does a Square Root function belong to?

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What is the equation of a line in Slope-Intercept Form?

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What is the answer to an addition problem called?

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What does factoring involve?

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What is a relation?

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What is the answer to a multiplication problem called?

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What defines an algebraic equation?

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What does the term 'quadratic' refer to?

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What is the output of a function called?

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What does it mean to list in descending order?

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What is an exponent?

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What is a base in power problems?

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What is the leading coefficient?

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What is the answer to a division problem called?

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What does infinite mean in mathematics?

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What is the answer to a subtraction problem called?

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What does it mean for two lines to be perpendicular?

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What does it mean when two lines are coinciding?

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What is a polynomial?

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What is a Y-intercept?

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What is an intersection in mathematics?

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What is a trinomial?

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What are parallel lines?

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What is the degree of a monomial?

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What is range in a set of ordered pairs?

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What is the degree of a polynomial?

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What is an X-intercept?

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What does it mean to list in ascending order?

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What is an independent variable?

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What is slope in terms of a line?

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What are factors?

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What is a binomial?

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What is domain in a set of ordered pairs?

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What is a function?

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## Study Notes

### Linear Functions

- Functions belonging to the linear family display a constant rate of change, represented by straight lines on a graph.

### Quadratic Functions

- Quadratics belong to the polynomial family, characterized by the highest exponent being two, producing parabolic shapes on graphs.

### Absolute Value Functions

- Functions that represent the distance of a number from zero, depicted by a V-shaped graph.

### Square Root Functions

- Functions that yield the principal square root of a number, typically producing half a parabola's shape on a graph.

### Slope-Intercept Form

- The equation of a line in this form is articulated as y=mx+b where m is the slope and b represents the y-intercept.

### Mathematical Operations

- Sum refers to the result of addition, while Difference indicates the result of subtraction. Product signifies the outcome of multiplication, and Quotient refers to the answer from division.

### Polynomial Expressions

- Factoring involves rewriting a polynomial as a product of its factors, which could be monomials, binomials, or trinomials.

### Relations and Ordered Pairs

- A relation comprises any set of ordered pairs, allowing the analysis of the relationship between input (independent variable) and output (dependent variable).

### Coefficients and Degrees

- The leading coefficient is the coefficient of the term with the highest degree in a polynomial, while the degree of a monomial is the sum of the exponents of its variables. The degree of a polynomial is determined by the highest degree amongst its terms.

### Line Characteristics

- Perpendicular lines intersect at right angles, coinciding lines share all points, and parallel lines have the same slope but do not intersect.

### Intercept Concepts

- The y-intercept indicates where a line crosses the y-axis, while the x-intercept shows where it crosses the x-axis.

### Value Sets

- The domain refers to the set of x-values, while the range refers to the set of y-values in a relation.

### Function Definition

- A function is defined as a set of ordered pairs where each input (from the domain) corresponds to exactly one output (from the range).

### Types of Monomials

- Monomials consist of a single term, while binomials have two terms, and trinomials consist of three terms.

## Studying That Suits You

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## Description

Test your knowledge of various function families with these flashcards designed for Algebra 1 Semester 2. Each card presents a mathematical term or concept, asking you to identify its associated family or equation. Perfect for reviewing key concepts before exams!