SAT1M1-101112

Front

What is a cubic function?

Back

A cubic function is a polynomial function of degree three, typically expressed in the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants.

Front

How many real roots can a cubic function have?

Back

A cubic function can have one, two, or three real roots, depending on the nature of its graph and the values of its coefficients.

Front

What does it mean for a function to have a root?

Back

A root of a function is a value of x for which f(x) = 0, meaning the graph of the function intersects the x-axis.

Front

What is a linear model?

Back

A linear model is a mathematical representation of a relationship between two variables that can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you determine the best-fit line from a scatterplot?

Back

The best-fit line is determined by minimizing the distance between the line and all points in the scatterplot, often using methods like least squares.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables, which can be solved simultaneously to find the values of those variables.

Front

What does it mean to solve a system of equations?

Back

To solve a system of equations means to find the values of the variables that satisfy all equations in the system.

Front

What is substitution in solving systems of equations?

Back

Substitution is a method where one equation is solved for one variable, and that expression is substituted into another equation.