Identifying Functions, Domain, Range, Independent Dependent Variables

Identify which table that represents the equation, y = 3x + 2, and is supported with the reasoning given.

• Table 1 because when substituting in (-1, -1) in for x and y and then solved, it worked with -1 = -1.

• None, both table 1 and 2 have coordinate points that do not lie on the line of the equation because the tables give points of nonlinear equations.

• Both table 1 and 2 work for the equation, because when substituting the coordinates from the table in for x and y, the equation is true.

• Table 2 because when finding the slope between (2, 8) and (-4, -10), m = 3. Then substituting (2, 8) in for x and y, b = 2. This worked for all points.

Which of the following statements is true?

• A relation includes both domain and range.

• Dependent variables directly affect the value of the independent variable.

• The input is the range and the output is the domain.

• The vertical line test is a test to see if graph is linear.

Identify which of the following are functions.

• graph iii

• graph i

• graphs i and ii

• graphs ii and iii

Which graph is linear?

• graphs ii and iii

• graphs i and ii

• graph i

• graph iii

Which of the following equations produces a linear function?

• y= 2x² + 3x -2

• y = x²

• y = ∣x∣

• y = 2x + 3

Which table of values is NOT a function?

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• 
• 
• 

Which of the following does NOT represent a way to determine if something is a function or not?

• The table of values has one input for every output.

• The graph passes the vertical line test.

• None of the following.

• The table of values has one output for every input.

Which represents the domain of the following relation? {(-6, 5), (-4, 3), (-1, 0), (4, 3)}

• 5, 3, 0, 3

• -6, 4, 1, -4

• 6, 4, 1, 4

• –6, -4, -1, 0

Using the table below, write a rule for using algebraic notation.

• y = 2x – 3

• y = -3x

• y = -2x + 3

• y = -3x + 3

A function is:

• a graph that has only one output per input

• a graph that has only one input per output

• a graph that has multiple domain values

• a graph that has multiple range values