Relations and Functions

Looking at the table, what is the domain of the function?

• Domain: {-7,-4,-1,2,5}

• Domain: {-2,-1,0,1,2}

Looking at the table, what is the range of the function?

• Range: {7,9,11,13,15}

• Range: {2,4,6,8,10}

Is the following a Function? Explain

(You may need to click on the picture to see it better)

• Yes; Each input has exactly one output.

• Yes; At least one input has more than one output.

• No; Each input has exactly one output.

• No; At least one input has more than one output.

Is the following a Function? Explain

• Yes; Each input has exactly one output. It passes the vertical line test.

• Yes; At least one input has more than one output. It fails the vertical line test.

• No; Each input has exactly one output. It passes the vertical line test.

• No; At least one input has more than one output. It fails the vertical line test.

Is the following a Function? Explain

• Yes; Each input has exactly one output.

• Yes; At least one input has more than one output.

• No; Each input has exactly one output.

• No; At least one input has more than one output.

Is the following a Function? Explain.

(2,5), (8, -2), (5,6), (9, -2)

• Yes; Each input has exactly one output.

• Yes; At least one input has more than one output.

• No; Each input has exactly one output.

• No; At least one input has more than one output.

Match the relations with their domain and range.

• D: {-1, 0, 2, 7}

  R: {-2, 1, 4, 7}

• 
• D: {-7, -2, 0, 5}

  R: {-9, -4, -1}

• 
• D: {-2, -1, 0, 1, 2}

  R: {-2, -1, 0, 1, 2}

• 
• D: {-5, -3, 3}

  R: {-5, -2, 5}

• 
• D: {-4, 3, 5, 7}

  R: {4, 14, 32}

• 

Does the graph represent a function?

• Yes

• No

Is the relation a function? Why?

• Yes, because the x-value 11 has two y-values paired with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values paired with it.

• No, because each x-value has only one y-value paired with it.

Why is the relation below not a function?