Comparing Linear, Quadratic and Exponential Functions

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a quadratic function?

Back

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

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 do you identify a linear function from a table of values?

Back

A linear function has a constant rate of change; the difference between consecutive y-values is the same.

Front

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

Back

A quadratic function has a variable rate of change; the second differences of the y-values are constant.

Front

How do you identify an exponential function from a table of values?

Back

An exponential function has a constant ratio between consecutive y-values.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of y with respect to x.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented by the value of y when x = 0.