Given:
The graph of a parabola.
To find:
The domain, range and check whether it is a function or not.
Solution:
Domain: The set of x-values or input values is known as domain.
Range: The set of y-values or output values is known as range.
A relation is a function if their exist unique outputs for each input. In other words a graph is a relation if it pass the vertical line test.
Vertical line test: Each vertical line intersect the graph at most once.
The given function is defined for all real values of x which are greater than or equal to -3. So, the domain of the given graph is:
The given function values can be any real number. So, the range of the given graph is:
For x=0, we have two values of the function because the graph intercept the y-axis at two points.
Since the graph does not pass the vertical line test therefore the given graph is not a function.
The volume for any cylinder, right or oblique, would be base x height. Even though an oblique cylinder looks quite different from a right cylinder, their volumes would be equal (given that their radius and height are equal). Think about it, the area of a parallelogram would equal the area of the rectangle if their heights and bases were the same, so that would apply for this also.
V= Bh
The base would stand for that top and bottom of the cylinder, or the circles. The volume for circle is pi x radius squared.
V =
h
V =
256 x 16
V =
4096
Answer: 22
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Explanation:
The triangles are similar, so we know the corresponding sides form ratios that are equal.
Note how...
FS and ZD are the first two letters of FSB and ZDR respectively
FB and ZR are the first & last letters of FSB and ZDR respectively
Based on those two facts above, we can form this proportion
FS/ZD = FB/ZR
38/15.2 = 55/x
Solve for x
38/15.2 = 55/x
38*x = 15.2*55
38*x = 836
x = 836/38
x = 22
