Function Behavior and Characteristics

The video tutorial explains intervals of increase and decrease in functions, using examples like exponential functions and parabolas. It covers how to identify these intervals, the concept of minimum and maximum points, and introduces interval notation. The tutorial also includes practice questions to reinforce understanding.

What does it mean for a function to be increasing?

• The curve is oscillating from left to right.

• The curve is constant from left to right.

• The curve is rising from left to right.

• The curve is falling from left to right.

Which type of function is a great example of an increasing function?

• Linear functions

• Quadratic functions

• Exponential functions

• Logarithmic functions

What happens to a function that increases and then decreases?

• It remains constant.

• It needs to be divided into different intervals.

• It becomes undefined.

• It oscillates.

In the context of a parabola, when is a function considered decreasing?

• When moving from right to left and the pencil moves upward.

• When moving from right to left and the pencil moves downward.

• When moving from left to right and the pencil moves downward.

• When moving from left to right and the pencil moves upward.

At which point does the function stop decreasing and start increasing?

• At x = 4

• At x = 0

• At x = 2

• At x = -4

What is the behavior of a function at x = 4?

• It is oscillating.

• It is neither increasing nor decreasing.

• It is decreasing.

• It is increasing.

What is the behavior of a function to the left of x = -4?

• It is constant.

• It is oscillating.

• It is increasing.

• It is decreasing.

What is the behavior of a function at x = -4?

• It is increasing.

• It is decreasing.

• It is neither increasing nor decreasing.

• It is oscillating.

What is the behavior of a function to the right of x = 4?

• It is decreasing.

• It is increasing.

• It is constant.

• It is oscillating.

What is the behavior of a function to the right of x = -4?

• It is oscillating.

• It is constant.

• It is decreasing.

• It is increasing.