Match the vocabulary word to its correct definition.

1. absolute value
2. continuous function
3. step function
4. piecewise-defined function

function whose graph consists of horizontal line segments

function defined on different intervals by different domain rules

function whose graph has no breaks

function whose output equals input for non-negative numbers, and whose output is the opposite of a negative input

1. Absolute value: function whose output equals input for non-negative numbers, and whose output is the opposite of a negative input

2. Continuous function: function whose graph has no breaks

3. Step function: function whose graph consists of horizontal line segments

4. Piecewise-defined function: function defined on different intervals by different domain rules

Step-by-step explanation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.