Evaluating Function Notation and Graphs

This video tutorial explains how to evaluate functions using graphs. It covers function notation, the vertical line test, and how to determine values of X and Y in a function. The tutorial provides examples of evaluating functions when either X or Y is given, demonstrating the process of finding the corresponding value on a graph.

What does 'f of 20' imply in function notation?

• y equals 20

• x is evaluated at 20

• y is evaluated at 20

• x equals 20

If 'f of x equals 20', what does it signify?

• x is 20

• y is 20

• We are given y and need to find x

• We are given x and need to find y

What is the significance of the vertical line test in function notation?

• It checks the symmetry of the graph

• It calculates the slope of the function

• It finds the x-value for a given y

• It determines if a graph is a function

What is the y-value when x is 90 on the graph?

• 30

• 10

• 0

• 20

What does the point (100, 0) on the graph indicate about f(100)?

• x is 100 and y is 0

• x is 0 and y is 100

• x is 100 and y is 100

• x is 0 and y is 0

What does the point (0, 0) signify in the context of the function?

• x is 0 and y is 0

• x is 100 and y is 0

• x is 100 and y is 100

• x is 0 and y is 100

If given f(x) = 0, what could be the x-value(s)?

• 45 and 80

• 50 and 70

• 0 and 100

• 20 and 90

For a y-value of 30, which x-values are possible according to the graph?

• 50 and 70

• 0 and 100

• 45 and 80

• 20 and 90

What does the graph tell us about the x-value when y is 20?

• x could be 20 or 90

• x could be 50 or 70

• x could be 0 or 100

• x could be 45 or 80

If the function has a y-value of 30 at x-values 50 and 70, what does this indicate about the function?

• It is a linear function

• It is a quadratic function

• It is not a function

• It is a function with multiple x-values for a y-value