Finding zeros, Maxima, Minima ...

Front

What is a real zero of a function?

Back

A real zero of a function is a value of x for which the function f(x) = 0.

Front

How do you determine the intervals where real zeros are located?

Back

By evaluating the function at various points and identifying where the sign changes, indicating a zero exists between those points.

Front

What is the line of symmetry for a quadratic function?

Back

The line of symmetry for a quadratic function in the form f(x) = ax^2 + bx + c is given by the formula x = -b/(2a).

Front

What is point symmetry in a graph?

Back

Point symmetry occurs when every part of a figure has a matching part at an equal distance from a central point, such as (h, k) in the function.

Front

What does it mean if a function approaches +∞ as x approaches -∞?

Back

It indicates that the left tail of the graph rises indefinitely as you move left along the x-axis.

Front

What does it mean if a function approaches -∞ as x approaches +∞?

Back

It indicates that the right tail of the graph falls indefinitely as you move right along the x-axis.

Front

What is the difference between absolute maximum and relative maximum?

Back

An absolute maximum is the highest point over the entire domain, while a relative maximum is the highest point in a specific interval.

Front

What is an absolute minimum?

Back

An absolute minimum is the lowest point over the entire domain of a function.

Front

What is a relative minimum?

Back

A relative minimum is the lowest point in a specific interval of the function.

Front

How can you tell if a graph represents a function?

Back

A graph represents a function if any vertical line drawn intersects the graph at most once (Vertical Line Test).