Given the piecewise function:
Let's select the graph which represents the function.
We have the graph below:
For f(x) = 3, the graph will be a horizontal line on y = 3 which has an open dot on x = 0 and a closed dot on x = -2
For f(x) = 1 if x = 0, the graph will have a closed dot located on the point (0, 1)
For f(x) = -(x + 1) if 0 < x ≤2, the graph will have a negative slope with an open dot on (0, -1) and closed dot on (2, -3)
ANSWER:
Graph B
Answer:
4. 2. 2. 4. 5. 5. 10. 15.
Step-by-step explanation:
x−1 x+1. = ∞. 2. All the vertical asymptotes of the function f(x) = x2 − 1 x3 − 9x are at. Answer: x = 0 and x = ±3. Solution: Write f(x) = g(x) h(x) ... x→a− f(x) or lim x→a+ f(x) is ±∞. For a = 0, lim x→0+ f(x)=+∞. For a = 3, lim x→3+ f(x)=+∞. ... 5. 10. Which of the following gives the graph of f (x)
Answer:
Step-by-step explanation:
- Binomial: 2 terms
- Trinomial: 3 terms
- Linear: a straight line
- Quadratic: like a curved line
(3x + 2) - (x + 5)
1(3x + 2) - 1(x + 5)
3x + 2 - x - 5 <== combine like terms
3x - x + 2 - 5
2x - 3 <== final answer, linear binomial
(2x + 8) + (3x² - 2)
1(2x + 8) + 1(3x² - 2)
2x + 8 + 3x² - 2
3x² + 2x + 6 <== final answer, quadratic trinomial
(3x + 8) + (4x² - x)
1(3x + 8) + 1(4x² - x)
3x + 8 + 4x² - x
4x² + 2x + 8 <== final answer, quadratic trinomial
(x² + 5x minus (-) 2) + (8 minus (-) 5x)
(x² + 5x - 2) + (8 - 5x)
1(x² + 5x - 2) + 1(8 - 5x)
x² + 5x - 2 + 8 - 5x
x² + 6 <== final answer, quadratic binomial
(x² + 7x) - (x² + 5)
1(x² + 7x) - 1(x² + 5)
x² + 7x - x² - 5
7x - 5 <== final answer, linear binomial
Hope this helps!
Answer:
Step-by-step explanation:
Given
Represent volume with v, height with h and radius with r
Required
Determine the values of h and r that uses the least amount of material
Volume is calculated as:
Substitute 432π for V
Divide through by π
Make h the subject:
Surface Area (A) of a cylinder is calculated as thus:
Substitute for h in
Factorize:
To minimize, we have to differentiate both sides and set
Set
Divide through by
Cross Multiply
Divide through by 2
Take cube roots of both sides
Recall that:
Hence, the dimension that requires the least amount of material is when
GIRL WHATS THE QUESTION?! PICTURE?