Understanding Function Graphs

The video tutorial explains how to interpret a function graph to find the output for a specific input. It begins by introducing the concept of a function graph and its role in defining the function. The tutorial then guides viewers on how to determine the output of the function for a given input, specifically focusing on finding the value of f(-1) from the graph. The process is demonstrated step-by-step, showing that when x equals -1, the function outputs 6.

What does a function graph represent?

• A list of all possible outputs of a function

• A table of values for a function

• The relationship between two unrelated variables

• The visual representation of a function's inputs and outputs

How do you determine the output of a function for a given input using a graph?

• By finding the input on the x-axis and checking the corresponding y-value

• By guessing based on the shape of the graph

• By calculating the derivative of the function

• By looking at the table of values

What is the output of the function when the input is -1?

• 6

• 9

• 0

• 3

Why is it important to understand the graph of a function?

• To predict future values of the function

• To determine the function's domain

• To find the function's range

• To accurately determine the output for specific inputs

What is the value of f(-1) according to the graph?

• f(-1) = 6

• f(-1) = 0

• f(-1) = -6

• f(-1) = 1