Function features

Front

What is the minimum of a function?

Back

The minimum of a function is the lowest point on the graph of the function, representing the smallest value of the function's output.

Front

What are the zeros of a function?

Back

The zeros of a function are the values of x for which the function's output is zero, meaning the points where the graph intersects the x-axis.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function intersects the y-axis, represented as (0, y).

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you calculate the average rate of change of a function?

Back

The average rate of change from x=a to x=b is calculated as (f(b) - f(a)) / (b - a).

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the value of the function also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the value of the function decreases.

Front

What is a linear function?

Back

A linear function is a function that can be represented by a straight line on a graph, typically in the form y = mx + b.

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, which produces a parabolic graph.

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.