HELP!! What are the intervals for the increasing and decreasing of this graph??
2 answers:
See the attached two images to visually see where the function is increasing and decreasing. (There's one image for each.)
We identify where a function is increasing based on where the y-values increase as the x-values increase. In other words, as you move left-to-right, the function is increasing if the function is moving upwards.
We identify where a function is decreasing based on where the y-values decrease as the x-values increase. In other words, as you move left-to-right, the function is decreasing if the function is moving downwards.
In both cases, while you recognize where it's one or the other based on the y-values, you describe it based on where it's happening, based on the x-values. The y-values tell you what's happening, the x-values tell you where it's happening.
The function is increasing on the intervals (-infinity, -4) and (-2,infinity). This is the red highlighted portions.
The function is decreasing on the interval (-4,–2). This the the blue highlighted portions.
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Answer:
and
Step-by-step explanation:
Given that and
, the parametric equations are obtained by algebraic means:
1) Given
2) Given
3) Associative and modulative properties
4) Existence of multiplicative inverse/Commutative property
5) Associative property
6)
/
7) Modulative property
8) Existence of additive inverse
9) Associative and commutative properties
10) Distributive property
11)
12) By 1)
13)
/Result
14) Compatibility with addition
15) Compatibility with addition
16) Associative property
17) Associative property
18) Associative and commutative properties/Definition of subtraction/Result
In consequence, the right answer is and
.