Functions vs Non-Functions

Look at the table.

Is the relation a function?

• Yes

• No

Look at this set of ordered pairs: (-7, 12), (2, 7), (10, 15), (-7,6)

Is this relation a function?

• Yes

• No

A student makes a table showing x and y values.

What number can replace the m in the table so that the student's table represents a function?

• -7

• -3

• 2

• 0

Look at this equation: y² = 3x + 2

Is this relation a function?

• Yes

• No

Which association represents a function, where m, n, and p are real numbers?

• (m, p), (n, p), (p, -m)

• (m, p), (m, -n), (n, -n)

• (m, p), (-m, -p), (-m, p)

• (m, p), (n, n), (n, -m)

Consider the relation graphed on the coordinate plane.

Which statement is true?

• The relation represents a function because for every input, x-value, there is exactly one output, y-value.

• The relation does not represent a function because for multiple inputs, x-values, there is more than one output, y-value.

• The relation represents a function because for multiple inputs, x-values, there is more than one output, y-value.

• The relation does not represent a function because for every input, x-value, there is exactly one output, y-value.

Look at the table.

Is the relation a function?

• Yes

• No

Consider the set of ordered pairs.

{(x, 4), (2, y), (3, 3)}

For which values of x and y will this set of ordered pairs represent a function?

• x = 3, y = 5

• x = 3, y = 4

• x = 2, y = 3

• x = 4, y = 2

Look at this equation: y= x³ + 2x + 4
Is this relation a function?

• Yes

• No

Give the domain and range. Tell if it is a function.

• D: {-4, -2, 0, 2}
  R: {-2, -2, 1, 1}
  Function

• D: {-4, -2, 0, 2}
  R: {-2, 1}
  Function

• D: {-4, -2, 0, 2}
  R: {-2, -2, 1, 1}
  Not a Function

• D: {-4, -2, 0, 2}
  R: {-2, 1}
  Not a Function