Understanding Function Values Using Graphs

The video tutorial explains how to use the graphs of two functions, F and G, to determine specific function values. It covers the operations of addition, subtraction, multiplication, and division of these functions at given x-values. The tutorial emphasizes understanding the relationship between input (x-value) and output (y-value) on a coordinate plane, and how each function value corresponds to a point on the graph. Through examples, it demonstrates how to find the function values for F(2) + G(2), F(3) - G(3), F(-4) x G(-4), and F(-3) / G(-3).

What is the relationship between the input and output in a function graph?

• The input is the Y value and the output is the X value.

• Both input and output are X values.

• The input is the X value and the output is the Y value.

• Both input and output are Y values.

How do you find the value of F(2) using the graph of F?

• Locate the point where X is 2 and find the Y value.

• Locate the point where Y is 2 and find the X value.

• Find the midpoint of the graph.

• Use the slope of the graph.

What is the result of F(2) + G(2) based on the graph?

• 5

• 4

• 3

• 2

How do you determine F(3) using the graph of F?

• Find the point where X is 3 and identify the Y value.

• Use the derivative of the function.

• Find the point where Y is 3 and identify the X value.

• Calculate the average of all Y values.

What is the result of F(3) - G(3) based on the graph?

• 0

• -1

• 1

• 2

How do you find F(-4) using the graph of F?

• Locate the point where Y is -4 and find the X value.

• Find the intersection of the graph with the Y-axis.

• Use the integral of the function.

• Locate the point where X is -4 and find the Y value.

What is the result of F(-4) x G(-4) based on the graph?

• -4

• -2

• -8

• -6

How do you determine F(-3) using the graph of F?

• Find the point where X is -3 and identify the Y value.

• Use the second derivative of the function.

• Find the point where Y is -3 and identify the X value.

• Calculate the slope at X = -3.

What is the result of F(-3) / G(-3) based on the graph?

• 2

• 1

• 0

• -2

What is the Y value of the point on the graph of G when X = -3?

• 1

• -2

• 2

• -1