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What is a monotonic transformation and how does it impact the relationship between variables in a mathematical function?

A monotonic transformation is a mathematical function that preserves the order of values in a dataset. It does not change the relationship between variables in a mathematical function, but it can change the scale or shape of the function.


How do monotonic transformations affect the relationship between variables in a mathematical function?

Monotonic transformations do not change the relationship between variables in a mathematical function. They only change the scale or shape of the function without altering the overall pattern of the relationship.


What mathematical relationship between variables is suggested by a graph showing a hyperbola?

Inverse


What is the difference between an open sentence and an expression?

An open sentence is a mathematical statement with variables that can be true or false depending on the values assigned to the variables. An expression, on the other hand, is a mathematical phrase that combines numbers, variables, and operations but does not contain an equal sign, so it does not represent a relationship or a statement. In simpler terms, an open sentence is like a question that can be answered, while an expression is like a calculation that can be simplified.


What mathematical relationship between variables is suggested by a graph showing a half-parabola?

inverse linear or quadratic


What is the name of a sentence that defines the value of the unknowns in a problem is called a?

A sentence which defines a value of variables in a mathematical problem is called a statement. The relationship between variables in a mathematical problem is called a function.


What is the deffination for formula?

A formula is a mathematical expression that demonstrates a relationship between variables. It is typically used to calculate a value based on given inputs and mathematical operations. Formulas are widely used in various disciplines such as physics, chemistry, and engineering to solve problems and make predictions.


Do you use a line graph when looking for a mathematical relationship between two variables?

A line graph is often useful in visualizing the relationship between two variables. But bear in mind that such relationships are sometimes so complicated that they are difficult to graph.


What is a symbolic expression?

A symbolic expression is a mathematical expression or equation containing variables, which represent unknown or variable values. These expressions are often used to represent relationships between different quantities or to describe patterns.


What decisions do you need to make when you write an equation to represent a relationship between variables?

The part of the expression to be represented first!


What is the difference between expression and equation?

The difference between these two is that an expression only contains variables, numbers, and mathematical symbols, and an equation contains two expression with an equal sign that separate them. For example, while an expression is "2x-1", an equation is "2x-1 = 5x."


Do All expressions contain variables?

No, not all expressions contain variables. An expression is a mathematical phrase that combines numbers, variables, and mathematical operations. A variable is a symbol that represents a quantity that can vary, such as x or y. Some expressions may only contain numbers and mathematical operations, such as addition, subtraction, multiplication, and division. For example, "3 + 5" is an expression that only contains numbers and the addition operation. However, an expression that contains at least one variable is known as an algebraic expression, and this type of expression is commonly used in algebra to represent mathematical relationships between variables. For example, "2x + 4" is an algebraic expression that contains the variable x and represents a linear equation in which y is equal to two times x plus four.