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Questions and Answers
What is the term for a variable that relies on nothing?
What is the term for a variable that relies on nothing?
Independent Variable
What is the equation for a Linear Absolute Value function?
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?
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?
What is the term for a graph that consists of all integer points?
What is the equation for a linear equation?
What is the equation for a linear equation?
What type of graph consists of all real numbers?
What type of graph consists of all real numbers?
What is the term for a variable that relies on the independent variable?
What is the term for a variable that relies on the independent variable?
What shape does a quadratic graph take?
What shape does a quadratic graph take?
What shape does a linear absolute value graph take?
What shape does a linear absolute value graph take?
What is the term for a graph that curves either increasing or decreasing?
What is the term for a graph that curves either increasing or decreasing?
What is the equation for an exponential function?
What is the equation for an exponential function?
What do real numbers include?
What do real numbers include?
What are integers?
What are integers?
What describes a straight-line graph that is either increasing or decreasing?
What describes a straight-line graph that is either increasing or decreasing?
Don't forget this equation in the front if it's a function: f(x) = ______
Don't forget this equation in the front if it's a function: f(x) = ______
Don't forget this equation if it is not a function: x = ______
Don't forget this equation if it is not a function: x = ______
What is the equation of a horizontal line?
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.
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