Functions 01

What is the definition of a function?

• Has inputs and outputs

• Every input has only one output

• Inputs have different outputs every time

• Has x-values and y-values

How do you determine if a relation is a function?

• The vertical line test crosses at least one point on the graph.

• The horizontal line test crosses at least one point on the graph.

• The vertical line test crosses only one point on the graph.

• The horizontal line test crosses only one point on the graph.

Is this a function? Explain.

• Yes; it passes the horizontal line test.

• No; it is not a straight line.

• Yes; it passes the vertical line test.

• No; it is not a smooth curve.

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

What is the domain of this function?

• -6 ≤ x ≤ 6

• 0 ≤ x ≤ 7

• 2 ≤ x ≤ 7

• No Solution

What is the domain for this relation?

• {-3, -1, 1, 3, 4}

• {-3, -2, -1, 1, 2}

• -3 ≤ x ≤ 4

• -3 ≤ y ≤ 2

What is the range of the following graph?

• -5, -1,  0 , 1, 5
• -4, -2, 0, 3, 6
• (-4, 1)  ( 6, 0)
• (6, 0)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

The inverse has been reflected over which line?

• y = x
• y =1
• y = 0
• y = x + 1

Which is true regarding the horizontal line test?

• The test is used on the original graph to see if that graph is a function

• The test is used on the original graph to see if it is an one-to one function

• The test is used on the inverse graph and can only touch the graph in two places to pass the test.

• The test is used on the inverse graph to see if it is an one-to one function

A quadratic graph fails the horizontal line test, so its inverse is not a function.

• True

• False