How to Identify a Function

Which of the following terms describes the function?

• linear

• nonlinear

• discrete

• continuous

• increasing and decreasing

Which of the following words describes the function?

• linear

• nonlinear

• increasing

• decreasing

• increasing and decreasing

Which of the following words describes the function?

• linear

• nonlinear

• increasing

• decreasing

• both increasing and decreasing

Which of the following is NOT a function?

• A

• B

• C

• they are all functions

Does the mapping of these points represent a function? (Note: the left oval represents your x values and the right oval represents your y values)

• Function

• Not a Function

Is this a function?  (a)  

The domain is​ (b)  

The range is​ (c)  

• Yes

• No

• {-1, 0, 1, 2, 3}

• {-1, 1, 2, 3}

• {1, 2, 3}

• {0, 1, 2, 3}

Function or not? (a)  

Domain =​ (b)  

Range =​ (c)  

• Function

• Not a Function

• {-5, -2,  2}

• {-4, 1. 3}

Answer explanation

The relation is not a function because it assigns multiple outputs to at least one input. The domain is {-5, -2, 2} and the range is {-4, 1, 3}, confirming the correct choices.

a) Is this a function?  (a)  

The domain is​ (b)  

The range is​ (c)  

• Yes

• No

• {-1, 0, 1, 2, 3}

• {-1, 1, 2, 3}

• {1, 2, 3}

• {0, 1, 2, 3}

Function or not? (a)  

Domain = ​ (b)  

Range = ​ (c)  

• Function

• Not a Function

• {-3, 0, 2, 3}

• {-2, 2, 4}

• {0, 2, 3, 4, -3, -2}

Function or not? (a)  

Domain =​ (b)  

Range = ​ (c)  

• Function

• Not a Function

• {1, 4}

• {-2, -1, 1, 2}

• {-2, -1, 1, 2, 4}