Front

What is a positive correlation in a scatterplot?

Back

A positive correlation indicates that as one variable increases, the other variable also increases, showing a direct relationship.

Front

What is a recursive formula?

Back

A recursive formula defines the terms of a sequence using previous terms. For example, a_n = a_(n-1) + d, where d is the common difference.

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept is found by setting x = 0 in the equation and solving for y.

Front

What does the function y = a(1 + r)^x represent?

Back

This function represents exponential growth, where 'a' is the initial amount, 'r' is the growth rate, and 'x' is the time period.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation ax^2 + bx + c = 0, given by x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a constant rate of change and is represented by a straight line, while a quadratic function has a variable rate of change and is represented by a parabola.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if positive, there are two real roots; if zero, one real root; if negative, no real roots.

Front

How do you identify a negative correlation in a scatterplot?

Back

A negative correlation indicates that as one variable increases, the other variable decreases, showing an inverse relationship.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form y = a * b^x, where 'a' is a constant, 'b' is the base, and 'x' is the exponent.

Front

What does it mean for a sequence to be arithmetic?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.