LQE (equations & graphs)

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What distinguishes an exponential function from other types of functions?

Back

An exponential function has the form f(x) = a * b^x, where a is a constant, b is the base (a positive real number), and x is the exponent.

Front

What is the shape of the graph of a quadratic function?

Back

The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the sign of the coefficient a.

Front

How can you identify an exponential growth function?

Back

An exponential growth function increases rapidly as x increases, characterized by a base greater than 1 in the function f(x) = a * b^x.

Front

What is the difference between exponential growth and exponential decay?

Back