Select the correct texts in the table.
1 answer:
Based on the given texts in the table about the graph of the function, the true statements are:
- The graph crosses the y-axis at (0,-15).
- The graph has a point of discontinuity at x = -2.
- The graph is increasing over the interval (4, ∞o).
- The domain of the function is all real numbers.
The function, 4x - 15 shows that 15 is the y-intercept which means that the graph will cross the y-axis at (0,15).
The point of discontinuity is x = - 2 and we see this with the gap created at x < -2 and -2 ≤ x ≤ 4.
The graph is indeed increasing over the interval (4, ∞o) because any value of x that is greater than 4 will increase f(x) = .
The domain of the function is also all real numbers as it begins at negative infinity and ends at infinity, (-∞, ∞).
Find out more on point of discontinuity at brainly.com/question/9553665.
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Answer:
The largest possible volume of the box is 2000000 cubic meters.
Step-by-step explanation:
The volume (), in cubic centimeters, and surface area (
), in square centimeters, of the box with a square base are described below:
(1)
(2)
Where:
- Side length of the base, in centimeters.
- Height of the box, in centimeters.
By (2), we clear within the formula:
And we apply in (1) and simplify the resulting expression:
(3)
Then, we find the first and second derivatives of this expression:
(4)
(5)
If and
, then we find the critical value of the side length of the base is:
Then, we evaluate this result in the expression of the second derivative:
By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:
The largest possible volume of the box is 2000000 cubic meters.
X+
=12
5x=36
x=7.2
So, the triangular entrance to the tent is 7.2 feet tall and 4.8 feet wide
5x=36
x=7.2
So, the triangular entrance to the tent is 7.2 feet tall and 4.8 feet wide