Function (y/n), Domain, and Range Warmup

Organize these options into the right categories. Which are functions, and which are not? Remember that we are looking at the x-values only. Coordinates of a point on a graph and an ordered pair take the form (x,y). When answering this question...we don't care what the y-values are. They can all be the same, different, whatever.

Groups:

(a) This is a Function

,

(b) This is not a Function

• {(-3,-2), (-2, -5), (-1, -8), (0, -11)}

• {(0, 1), (1, 4), (2,7), (1, 10)}

• {(-2,0), (-1, 1), (-2, 3), (-1, -2)}

• {(-1,-2), (0, -1), (1, 0), (2, 1)}

Answer explanation

Did you look at the x values only? If you have a hard time with these lists, make yourself a table and write the x's on the left and the y's on the right.

I'm repeating this exact question....give it another shot.

Organize these options into the right categories. Which are functions, and which are not? Remember that we are looking at the x-values only. Coordinates of a point on a graph and an ordered pair take the form (x,y). When answering this question...we don't care what the y-values are. They can all be the same, different, whatever.

Groups:

(a) This is a Function

,

(b) This is not a Function

• {(-2,0), (-1, 1), (-2, 3), (-1, -2)}

• {(-3,-2), (-2, -5), (-1, -8), (0, -11)}

• {(-1,-2), (0, -1), (1, 0), (2, 1)}

• {(0, 1), (1, 4), (2,7), (1, 10)}

Answer explanation

Did you look at the x values only? If you have a hard time with these lists, make yourself a table and write the x's on the left and the y's on the right.

Select the two (2) relations that are also functions. Remember...just look at the x values. They won't be highlighted in green on a test...but we did it for you here. No repeated x values is what we are looking for! Remember that "Input" means x and "output" is the y.

• 
• 
• 
• 

Answer explanation

Ok...this one is NOT a function....cause there are repeated 2's in the Input (x) column.

This is not a function. Which point can you remove from the list below such that the remaining points would form a function? Remember...we are looking at x-values. You may use the "vertical line test" too. Hint...we want to remove one point that shares an x-value with another point.

• (1,3)

• (3,3)

• (-2,-3)

• (4,-1)

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.

This is not a function. Which point can you remove from the list below such that the remaining points would form a function? Remember...we are looking at x-values. You may use the "vertical line test" too.

• (-5,4)

• (-1,-3)

• (2,2)

• (3,2)

Answer explanation

Note that (-2,4) and (-2, -3) have the same x values...you could remove either of these to get a function.

What is the domain of this function. Remember...we are looking for only the x coordinate values of these points.

• {-4, -1, 2, 3}

• {-5, -4, 2, -1}

• {-5, -2, 1, 4}

• {-5, 3, -2, -4}

Answer explanation

I would have looked at the points from left to right, remembering that the coordinates are in the format (x,y). Domain is the set of x coordinate values.

What is the range of this function. Remember...we are looking for only the y coordinate values of these points.

• {-4, -1, 2, 3}

• {-5, -4, 2, -1}

• {-5, -2, 1, 4}

• {-5, 3, -2, -4}

Answer explanation

I would have looked at the points from bottom to top, remembering that the coordinates are in the format (x,y). Range is the set of y coordinate values.

Select all correct answers (there are 2).

Identify the functions that have a domain of {-3, 2, 5} ... remember that the domain is the set of x coordinate values. Also remember that the numbers might not be in the same order with in the function examples.

Answer explanation

Did you look for the x coordinate values only? Some of the numbers in the domain were actually in the y row...you didn't look at the y's...did you?

Select all the correct answers.

Identify the functions that have a domain of {0, 1, 6}

Answer explanation

Did you look for the x coordinate values only? Some of the numbers in the domain were actually in the y row...you didn't look at the y's...did you?