Functions
What is the domain of the function f(x) =square roof of (x minus three)?
The domain of the function f(x) = (x-3) is all real numbers greater than or equal to 3.
In mathematics, what is the term for numbers that can be expressed as a ratio of two integers?
The term for numbers that can be expressed as a ratio of two integers is "rational numbers."
What is the square root of 64?
The square root of 64 is 8.
In a scatterplot, what type of relationship is indicated when the points form form a straight line going upwards?
When the points in a scatterplot form a straight line going upwards, it indicates a positive linear relationship.
In a two-way table, what is the term for the values that are listed vertically?
In a two-way table, the values that are listed vertically are called the column values.
Can you find the x-intercept of the function g(x)= two times x minus five?
The x-intercept of the function g(x) = 2x -5 is the value of x when the function crosses the x=axis, which is (5/2) or 2.5.
What is the name for the property of real numbers that states that the order of addition does not affect the result?
The property of real numbers that states that the order of addition does not affect the result is called the "commutative property of addition."
This number, when squared, equals 100.
The number that, when is squared, equals to 100 is 10.
What is the term for the measure that indicates how closely the points in a scatterplot cluster around the line of best fit?
The measure that indicates how closely the points in a scatterplot cluster around the line of best fit is called the correlation coefficient.
What is the name for the statistic that shows the relationship between two categorical variables in a two-way table?
The statistic that shows the relationship between two categorial variables in a two-way table is called the chi-square statistic.
Determine the maximum of minimum value of the function y = negative two times x squared plus four times x minus three.
The maximum or minimum value of the function y = -2x^2 + 4x - 3 can be found using calculus or by completing the square. It has a maximum value of 1 at x = 1.
This famous Greek mathematician is credited with discovering that the square root of 2 is an irrational number.
The famous Greek mathematician credited with discovering that the square root of 2 is an irrational number is "Pythagoras."
What is the square root of 144?
The square root of 144 is 12.
When the points in a scatterplot are spread out and do not show a clear pattern, what type of relationship is indicated?
When the points in a scatterplot are spread out and do not show a clear pattern, it indicates no relationship or a weak relationship.
When the values in a two-way table are displayed as percentages of the total, what is this called?
When the values in a two-way table are displayed as percentages of the total, it is called relative frequencies.
Find the inverse function of h(x) = three times x plus two.
The inverse function of h(x) = 3x + 2 is g(x) = (x-2)/3.
What is the term for a real number that cannot be expressed as a terminating or repeating decimal?
The term for a real number that cannot be expressed as a terminating or repeating decimal is "irrational number."
This number is both a perfect square and a perfect cube.
The number that is both a a perfect square and a perfect cube is 1.
What is the name for the statistic used to quantify the strength and direction of the relationship between two variables in a scatterplot?
The statistic used to quantify the strength and direction of the relationship between two variables in a scatterplot is called the correlation coefficient.
In a two-way table, what is the term for the values that are listed horizontally?
In a two-way table, the values that are listed horizontally are called the row values.
Solve the equation f(x) = g(x) for x, where f(x) = two times x plus one and g(x) = three times x minus two.
To solve the equation f(x) = g(x) for x, where f(x) = 2x + 1 and g(x) = 3x - 2, we can set the two functions equal to each other: 2x + 1 = 3x - 2. Solving for x, we find x = 3.
What is the name for the mathematical notation used to represent an infinite, non-repeating decimal?
The name for the mathematical notation used to represent an infinite, non-repeating decimal is "ellipsis notation.'
What is the square of 9?
The square of 9 is 81.
In a scatterplot, what is the variable that is plotted on the y-axis called?
In a scatterplot, the variable plotted on the y-axis is called the dependent variable.
What is the name for the statistic that shows the distribution of one variable within each category of another variable in a two-way table.
The statistic that shows the distribution of one variable within each category of another variable in a two-way table is called the conditional distribution.