Understanding Function Values from a Graph

The video tutorial explains how to determine function values using a graph. It covers evaluating specific function values like F(-5), F(2), and F(1) by locating points on the x-axis and identifying corresponding y-values. Special attention is given to handling graph breaks when evaluating F(1). The tutorial aims to help viewers understand the relationship between x and y coordinates in function notation.

What is the main concept to remember when using function notation?

• The input and output are both y-values.

• The input is always a y-value.

• The input is the x-value and the output is the corresponding y-value.

• The output is always a negative number.

How do you find the function value for F(-5) on a graph?

• Locate -5 on the y-axis and find the corresponding x-coordinate.

• Find the point where y is -5.

• Find the point where x is 5.

• Locate -5 on the x-axis and find the corresponding y-coordinate.

What is the y-coordinate for F(-5) on the graph?

• 3

• -3

• 2

• 1.5

When evaluating F(2), what is the first step?

• Locate the point where y is 2.

• Find 2 on the y-axis.

• Find 2 on the x-axis.

• Locate the point where x is -2.

What is the function value for F(2)?

• -3

• 3

• 1.5

• 0

What is unique about the graph at x = 1?

• There is an open point only.

• There is a closed point only.

• There is both an open and a closed point.

• There is no point at all.

Where is the function defined at x = 1?

• At the open point.

• At the closed point.

• At neither point.

• At both points.

What is the y-coordinate for F(1) on the graph?

• 0

• 3

• -3

• 1.5