Question
Look at the graph below and identify whether the function at interval 1 is increasing, decreasing or constant.
- Increasing
- Decreasing
- Constant
- Cannot say
Hint:
The increasing interval in graph where line goes on upward on graph from left to right and slope of line is positive . The decreasing interval in graph where line goes towards downward on graph from left to right and slope is negative. The constant interval when the line on graph is moving in horizontal on graph from left to right and slope of the line is zero.
The correct answer is: Increasing
Here we are given 3 intervals and we need to figure it out the interval 1 is increasing , decreasing or constant.
Firstly , we know that the for increasing interval line on graph must be upward from left to right and decreasing interval is from downward and constant is horizontal from left to right.
Here we can see that we have 3 interval in temperature vs time graph.
For interval 1, this interval is upward in moving from left to right , so interval 1 is increasing interval.
For interval 2, this interval is horizontally in moving from left to right , so interval 2 is constant interval.
For interval 3, this interval is downward in moving from left to right , so interval 3 is decreasing interval.
Therefore , The interval 1 is the increasing interval.
The answer is decreasing option(a).
You can apply can process throughout any question related to increasing, decreasing and constant interval where you can find out easily by looking the graph or slope of line.
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Let us consider a function that defined as 
then, the representation may exist as shown below.
Hence, Every object x that belongs to the set of inputs has exactly one object y that belongs to the set of outputs.
*** Hence, the technical definition of the function is a relation from a set of i9nputs to set of possible outputs where each input is related to exactly one output.
What is the definition of function?
Let us consider a function that defined as then, the representation may exist as shown below.
Hence, Every object x that belongs to the set of inputs has exactly one object y that belongs to the set of outputs.
*** Hence, the technical definition of the function is a relation from a set of i9nputs to set of possible outputs where each input is related to exactly one output.
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