Exploring Key Features of Functions

The video tutorial covers the key features of functions, including domain, range, and notations. It explains how to interpret these features for linear, quadratic, and absolute value functions using equations and graphs. The tutorial also demonstrates how to find intercepts and intervals, and provides examples to illustrate these concepts.

What is the domain of a function?

• The set of all ordered pairs

• The set of all real numbers

• The set of all possible inputs

• The set of all possible outputs

Which notation uses curly brackets to represent sets?

• Graphical notation

• Set builder notation

• Interval notation

• Function notation

In interval notation, what do square brackets indicate?

• The interval is undefined

• The number is not included

• The number is included

• The interval is infinite

What is the range of the function y = x^2 - 3?

• All numbers greater than or equal to -3

• All real numbers

• All positive numbers

• All numbers less than or equal to -3

What is the domain of the function y = |x - 4|?

• All real numbers

• All positive numbers

• All numbers greater than or equal to 4

• All numbers less than or equal to 4

What is the x-intercept of the function y = 4 - x^2?

• 0 and 4

• 4 and -4

• 1 and -1

• 2 and -2

What does a positive interval indicate about a function?

• The function is constant

• The function is decreasing

• The function is above the x-axis

• The function is below the x-axis

What is the average rate of change formula?

• F(a) + F(b) / a + b

• F(a) - F(b) / a - b

• F(b) - F(a) / b - a

• F(b) + F(a) / b + a

Which type of function has a constant rate of change?

• Exponential function

• Quadratic function

• Linear function

• Absolute value function

What is the shape of the graph of an absolute value function?

• Horizontal line

• Diagonal line

• V-shape

• U-shape