Answer:
(a) 
(b) Domain: 
<em>(See attachment for graph)</em>
(c) 
Step-by-step explanation:
Given
Solving (a): A function; l in terms of w
All we need to do is make l the subject in
Divide through by 2
Subtract w from both sides
Reorder
Solving (b): The graph
In (a), we have:
Since l and w are the dimensions of the fence, they can't be less than 1
So, the domain of the function can be
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To check this
When 
When 
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<em>See attachment for graph</em>
<em></em>
Solving (c): Write l as a function 
In (a), we have:
Writing l as a function, we have:
Substitute for l in
becomes
Answer:
4, 13, 28, 49
Step-by-step explanation:
1st term = 3 × (1)² + 1 = 4
2nd term = 3 × (2)² + 1 = 13
3rd term = 3 × (3)² + 1 = 28
4th term = 3 × (4)² + 1 = 49
Answer:
(-2, ∞)
Step-by-step explanation:
A function is "increasing" when its graph goes up to the right, the slope is positive. At a turning point (maximum or minimum), the function is neither increasing nor decreasing.
<h3>Increasing interval</h3>
The graph has a minimum at x = -2. To the left of that point, the graph goes up to the left, which is the same as down to the right (decreasing).
To the right of x = -2, the graph goes up to the right (increasing). It continues to increase for all values of x > 2. The interval where the function is increasing is said to be ...
-2 < x < ∞
The lack of "or equal to" tells you the interval is "open" and is delimited by parentheses in interval notation:
increasing; (-2, ∞)
Answer:16.110
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
(-7-2) > (6-14)
-7-2 = -9
6-14 = -8
-9 is not > -8, because -9 is farther to the left on a number line. So, this statement would be false.
