Questions and Answers
What is the term for a variable that relies on nothing?
Independent Variable
What is the equation for a Linear Absolute Value function?
f(x) = a | x - h | + k
What is the general form of a quadratic equation?
f(x) = ax^2 + bx + c
What is the term for a graph that consists of all integer points?
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What is the equation for a linear equation?
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What type of graph consists of all real numbers?
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What is the term for a variable that relies on the independent variable?
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What shape does a quadratic graph take?
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What shape does a linear absolute value graph take?
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What is the term for a graph that curves either increasing or decreasing?
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What is the equation for an exponential function?
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What do real numbers include?
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What are integers?
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What describes a straight-line graph that is either increasing or decreasing?
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Don't forget this equation in the front if it's a function: f(x) = ______
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Don't forget this equation if it is not a function: x = ______
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What is the equation of a horizontal line?
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Study Notes
Independent and Dependent Variables
- An independent variable does not rely on any other variable for its value.
- A dependent variable relies on the value of the independent variable.
Function Types
-
Linear Absolute Value Function is represented by the equation:
- f(x) = a |x - h| + k
-
Quadratic Equation is represented by:
- f(x) = ax² + bx + c
-
Linear Equation is expressed as:
- f(x) = mx + b
-
Exponential Equation is given by:
- f(x) = a * b^x
Graph Characteristics
- Discrete Graphs consist of points that are all integers, plotted separately on the graph.
- Continuous Graphs feature points that represent all real numbers, forming a connected graph.
- A U-shaped graph indicates a quadratic relationship.
- A V-shaped graph represents a linear absolute value relationship.
- An exponential graph shows a curved line that can either increase or decrease based on the growth factor.
Numerical Classes
- Real Numbers include all types of numbers, encompassing decimals and fractions.
- Integers consist of whole numbers without any decimals or fractions.
Important Concepts
- A linear graph forms a straight line, which can either incline or decline based on the values of its slope.
- The notation f(x)= indicates that the equation is a function, whereas x=# signifies it is not a function.
- A horizontal line is represented by the equation:
- f(y) = #, indicating a constant value of y across all x values.
Studying That Suits You
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Test your knowledge of independent and dependent variables with these flashcards designed for Algebra 1 students. Each card features essential definitions and equations that are fundamental to understanding algebraic concepts.
