Evaluating Functions Through Graph Analysis

This video tutorial teaches how to evaluate functions using graphs. It begins with an introduction to function evaluation and function notation, explaining the relationship between inputs and outputs. The tutorial provides examples of evaluating functions at specific x-values and finding x-values for given outputs. It also covers advanced evaluation techniques with different graph shapes and addresses cases with multiple inputs for a single output. The video concludes with a self-assessment to reinforce learning.

What does the point (2, 3) on a graph represent in terms of function notation?

• F(2) = -3

• F(2) = 3

• F(3) = 2

• F(3) = -2

If F(0) = 3, what is the output when the input is 0?

• 4

• 2

• 3

• 0

Using the graph, what is F(2) equal to?

• 4

• 5

• 3

• 2

What is the output when the input is 5 on the graph?

• 5

• 5.5

• 6

• 4.5

For what value of x does F(x) equal 4?

• x = 6

• x = 8

• x = 4

• x = 2

What is the input when the output is 0 on the graph?

• x = 6

• x = -6

• x = 10

• x = 0

Using the V-shaped graph, what is F(7) equal to?

• 0

• 1

• 2

• 3

What is the output when the input is -3 on the V-shaped graph?

• 2

• 0

• -1

• 1

For what values of x does F(x) equal 3 on the V-shaped graph?

• x = 0 or x = 7

• x = 3 or x = 6

• x = 2 or x = 4

• x = 1 or x = 5

What is the output when the input is -1 in the final self-assessment?

• -6

• -5

• -4

• -3