A.2A,A.3E,A.4ABC Domain/Range, Regresssions, Causation DA#3 REDO

Front

What is the parent function of a linear equation?

Back

The parent function of a linear equation is f(x) = x, which represents a straight line with a slope of 1 and a y-intercept of 0.

Front

How do you reflect a function over the x-axis?

Back

To reflect a function over the x-axis, you multiply the function by -1. For example, if f(x) is the original function, the reflected function is g(x) = -f(x).

Front

What does vertical compression of a function mean?

Back

Vertical compression occurs when the output values of a function are multiplied by a factor between 0 and 1. For example, g(x) = 1/4f(x) compresses the function vertically by a factor of 1/4.

Front

How do you shift a function to the left by 2 units?

Back

To shift a function to the left by 2 units, you replace x with (x + 2) in the function's equation. For example, if f(x) = x, then g(x) = f(x + 2) = x + 2.

Front

What is the equation of a function that is reflected over the x-axis, vertically compressed by 1/4, and shifted left by 2 units?

Back

The equation is g(x) = -1/4f(x + 2).

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

What does a negative slope in a linear function indicate?

Back

A negative slope indicates that as one variable increases, the other variable decreases. For example, in the function y = -5/2x + 20, as x increases, y decreases.

Front

What is a correlation coefficient?

Back

The correlation coefficient is a statistical measure that describes the strength and direction of a relationship between two variables, ranging from -1 to 1.

Front

What does a correlation coefficient of 0.648 indicate?

Back

A correlation coefficient of 0.648 indicates a strong positive correlation, meaning that as one variable increases, the other variable tends to also increase.

Front

What is the difference between causation and correlation?

Back

Causation indicates that one event is the result of the occurrence of another event, while correlation indicates a relationship between two variables without implying that one causes the other.