Exploring Properties of Functions in Algebra

In this video, Misty reviews the properties of functions, focusing on identifying and evaluating them. The video explains the definition of a function, the vertical line test for identifying functions, and provides examples of functions and non-functions. It also covers how to evaluate functions using input values and discusses the concepts of domain and range. The video concludes with an offer for additional support.

What is the purpose of the vertical line test?

• To determine if a graph is a function

• To find the range of a function

• To calculate the slope of a graph

• To identify the x-values of a graph

Can a function have repeating Y values?

• No, functions cannot have any repeating values

• Yes, if the X values are not repeating

• No, Y values must be unique

• Yes, but only in linear functions

If a table has inputs of 0, 1, 2, 3 all producing an output of -4, is it a function?

• Yes, because the X values do not repeat

• No, because the Y value is always the same

• No, because a function cannot have negative outputs

• Yes, but only in certain conditions

Why is an S-shaped curve not considered a function?

• Because it represents multiple functions

• Because it does not pass the vertical line test

• Because it passes the vertical line test

• Because it only has positive Y values

What does F(x) represent in a function?

• The output value for a given input x

• The slope of the function

• The maximum value of the function

• The domain of the function

How do you evaluate F(5) if F(x) = 3x + 9?

• Multiply 5 by 9

• Substitute x with 5 and solve

• Add 5 to 9

• Divide 9 by 5

If a graph of a function includes the point (2, -3), what is F(2)?

• -3

• 2

• 5

• -5

What is the domain of a function?

• The minimum value of X

• The set of all possible X values

• The maximum value of X

• The set of all possible Y values

What does it mean if a graph has closed circles in the context of domain and range?

• The graph represents multiple functions

• The values are included in the domain and range

• The values are excluded from the domain and range

• The function is undefined

What is the range of a function?

• The average value of Y

• The difference between the highest and lowest Y values

• The set of all possible output Y values

• The total number of Y values