Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax² + bx + c, where a, b, and c are constants.

Front

What is a linear function?

Back

A linear function is a polynomial function of degree 1, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is an exponential function?

Back

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

Front

How can you identify a quadratic function from a table of values?

Back

A quadratic function will show a constant second difference in the y-values when the x-values are evenly spaced.

Front

What does the term 'constant value' refer to in functions?

Back

The constant value in a function is the term that does not change with the input variable, often represented as 'c' in polynomial functions.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables.

Front

How do you determine if a function is exponential from a table?

Back

An exponential function will show a constant ratio between consecutive y-values when the x-values are evenly spaced.

Front

What is a piecewise function?

Back

A piecewise function is a function defined by multiple sub-functions, each applying to a certain interval of the domain.