Features of Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What is the maximum value of a function?

Back

The maximum value of a function is the highest point on the graph of the function.

Front

What is the minimum value of a function?

Back

The minimum value of a function is the lowest point on the graph of the function.

Front

What does the y-intercept represent in a graph?

Back

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

Front

How do you find the value of a function at a specific point?

Back

Substitute the specific x-value into the function's equation and solve for f(x).

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as x increases, the value of f(x) decreases.

Front

What is a parabola?

Back

A parabola is a symmetric curve formed by the graph of a quadratic function.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

How do you determine if a parabola opens upwards or downwards?

Back

If the coefficient of x^2 is positive, it opens upwards; if negative, it opens downwards.