Evaluating Functions and Identifying Functions

What are the two main parts of the video?

• Evaluating functions and solving inequalities

• Determining if a table is a function and solving equations

• Determining if a table, mapping, or graph is a function and evaluating functions

• Graphing functions and solving systems of equations

What is a key indicator that a table represents a function?

• Each y value has only one x value

• Each x value has only one y value

• The y values do not repeat

• The x values repeat

Why is the table with x values -3, -2, -1, 2, -1, 1, 2, -3 not a function?

• The y values repeat

• The y value 2 is paired with two different x values

• The x values do not repeat

• The x value -1 is paired with two different y values

In a mapping, what indicates that the set of values is not a function?

• There are no arrows drawn

• Each y value maps to multiple x values

• Each x value maps to multiple y values

• The y values repeat

What does the vertical line test determine?

• If a graph has repeating y values

• If a graph represents a function

• If a graph is quadratic

• If a graph is linear

What happens if a vertical line intersects a graph at more than one point?

• The graph is quadratic

• The graph is linear

• The graph is not a function

• The graph is a function

What is function notation?

• Replacing f(x) with y

• Replacing y with x

• Replacing x with y

• Replacing y with f(x)

What does f(5) = 11 indicate in function notation?

• When x is 5, the function value is 11

• When y is 11, the function value is 5

• When y is 5, the function value is 11

• When x is 11, the function value is 5

How do you evaluate f(2) for the function f(x) = 3x - 4?

• Substitute 2 for x and solve 3(2) - 4

• Substitute 2 for x and solve 3(2) + 4

• Substitute 2 for y and solve 3(2) + 4

• Substitute 2 for y and solve 3(2) - 4

What is the result of evaluating G(4) for the function G(x) = 2x^2 - 3x?

• 8

• 16

• 20

• 12