Academic Vocabulary - Mathematics 9-12 #6

What is the definition of an identity matrix in the context of mathematics?

• A. A square matrix that has a 1 for each element on the main diagonal and 0 for all other elements.

• B. A matrix with identical elements along the main diagonal.

• C. A matrix where the determinant equals one.

• D. A matrix that does not change any vector when it is multiplied by that vector.

Answer explanation

The correct definition of an identity matrix in mathematics is a square matrix with a 1 for each element on the main diagonal and 0 for all other elements, which aligns with option A.

What does the term "implicit function" refer to in the academic vocabulary words for mathematics?

• A. A function in which the dependent variable is isolated on one side of the equation.

• B. A function that can be expressed as an explicit equation.

• C. A function in which the dependent variable is not isolated on one side of the equation.

• D. A function that is represented graphically only.

Answer explanation

The term 'implicit function' refers to a function in which the dependent variable is not isolated on one side of the equation, making it harder to express explicitly.

What are increasing intervals?

• A. Intervals where the function's value decreases.

• B. Intervals where the function's slope is zero.

• C. Intervals where the function's slope is negative.

• D. Intervals where the function's slope is positive.

Answer explanation

Increasing intervals refer to the sections of a function where the slope is positive, indicating a rise in the function's value.

What is the definition of "inference" in the context of mathematics?

• A. A precise calculation based on known values.

• B. A conclusion drawn from multiple observations.

• C. A guess without any supporting evidence.

• D. A mathematical proof.

Answer explanation

In the context of mathematics, 'inference' refers to a conclusion drawn from multiple observations, making option B the correct choice.

How is "infinite" defined in the context of mathematics?

• A. A number that is too small to be measured.

• B. Having limits or boundaries in time or space.

• C. Having no limits or boundaries in time or space or extent or magnitude; endless.

• D. A set that can be counted.

Answer explanation

The correct definition of 'infinite' in mathematics is having no limits or boundaries in time or space or extent or magnitude; endless, which aligns with option C.

What does "initial point of a vector" mean?

• A. The direction in which a vector is pointing.

• B. The magnitude of a vector.

• C. The starting point of a vector that is being represented by a line segment.

• D. The end point of a vector.

Answer explanation

The initial point of a vector refers to the starting point of the vector when represented by a line segment, making option C the correct choice.

What is the definition of "input" in the context of mathematics?

• A. The output or result of a function.

• B. The process of solving an equation.

• C. The value substituted for a variable in an expression.

• D. The variable that is being solved for in an equation.

Answer explanation

The definition of 'input' in mathematics refers to the value substituted for a variable in an expression, making choice C the correct answer.

What is an "integer"?

• A. A fraction or a part of a whole.

• B. A real number that is not an integer.

• C. A decimal or a number with a fractional part.

• D. All whole numbers (both positive and negative) and zero.

Answer explanation

An integer is defined as all whole numbers (both positive and negative) and zero, making option D the correct choice.

What does "integer exponent" refer to?

• An exponent that is any integer; positive, negative, or 0.

• An exponent that is only a positive integer.

• An exponent that is a fraction or decimal.

• An exponent that is only a negative integer.

Answer explanation

The correct choice is A because an integer exponent can be positive, negative, or 0, encompassing all integers.

What is the definition of "intercept"?

• A. The slope of a line.

• B. The length of a line segment.

• C. The point at which a line or curve intersects an axis.

• D. The angle formed by two intersecting lines.

Answer explanation

The definition of 'intercept' is the point at which a line or curve intersects an axis, making option C the correct choice.