Domain and Range Warmup

What is the range of this function? Use interval notation to write your answer.

What is the Domain of this function? Use interval notation to write your answer.

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.

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.

What is the range of this function?

• (-∞,∞)

• (-4,2]

• (-∞,2]

• [2,-∞)

What is the range of this function?

• (-5, 5)

• (-3, 3)

The mapping below represents all of the points on the graph of function f.

What is the domain and range of f.

Domain: ​ (a)  

Range: ​ (b)  

• {-5, -3, 0, 2, 4}

• {-1, 0, 1, 2, 3}

• {5}

• {-5, -3, -1, 0, 2, 3, 4}

Select TWO correct answers.

Domain

​ (a)  

Range

​ (b)  

• The domain of the function is {0,1,2,3,4,5}

• The range of the function {0,96,192,288,384,480}

• The domain of the function is all real numbers

• The domain of the function {0,96,192,288,384,480}

• The range of the function {0,1,2,3,4,5}

• The range of the function is all real numbers.

What is the domain and range of the given graph?

• all real numbers