Understanding Function Graphs

The video tutorial explains how to determine the input value (x) for a given function value (F(x)) using a graph. Two examples are provided: one where F(x) = -2 and another where F(x) = 1. The process involves locating the y-value on the graph and identifying the corresponding x-value. The tutorial emphasizes understanding the relationship between function values and their graphical representation.

What is the main task described in the introduction of the video?

• To solve a system of equations.

• To calculate the derivative of a function.

• To determine the input value given the function's output.

• To find the graph of a function.

In the first example, what is the output value given for the function?

• -3

• 1

• 0

• -2

What is the input value when the function output is -2 in the first example?

• 0

• 1

• -3

• 2

In the second example, what is the function value provided?

• 1

• 2

• -1

• 0

What input value corresponds to the function output of 1 in the second example?

• 3

• 2

• -2

• 0

Which point on the graph corresponds to the function value of 1 in the second example?

• (2, 1)

• (0, 1)

• (-3, -2)

• (1, 2)

What is the key takeaway from the examples discussed in the video?

• Function values are always positive.

• Graphs are not useful for finding function values.

• The input can be determined from the output using a graph.

• Graphs only show input values.