Characteristics of Functions

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 a Linear Function?

Back

A linear function is a function that graphs to a straight line, represented by the equation f(x) = 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 f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is the Constant Rate of Change?

Back

The constant rate of change refers to the consistent change in the value of a function, characteristic of linear functions, where the slope remains the same.

Front

What does it mean for a function to be Increasing?

Back

A function is increasing if, as the input (x) increases, the output (f(x)) also increases.

Front

What does it mean for a function to be Decreasing?

Back

A function is decreasing if, as the input (x) increases, the output (f(x)) decreases.

Front

What is a Function?

Back

A function is a relation that assigns exactly one output for each input, meaning no two ordered pairs have the same first element.

Front

What is a Non-Function?

Back

A non-function is a relation where at least one input is associated with more than one output.

Front

What is the shape of a Quadratic Function's graph?

Back

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

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.