Answer:
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Step-by-step explanation:
In order for it to be a function, it has to pass the vertical line test. So draw a line down the middle of the graphs. If it passes once, then it is a function, if it passes more than once it is not.
The statement the graphs of both functions have a vertical asymptote of x=0 and statement unlike the graph of function f, the graph of function g decreases as x increases are true.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have two functions:
f(x) = lnx
g(x) = -5 lnx
The domain of the both functions x > 0
The function will be touch the y-axis when x reaches to the infinite.
The graphs of both functions have a vertical asymptote of x=0.
Unlike the graph of function f, the graph of function g decreases as x increases.
The graph of function g is the graph of function f vertically stretched by a factor of 5 and reflected over the x-axis.
Thus, the statement the graphs of both functions have a vertical asymptote of x=0 and statement unlike the graph of function f, the graph of function g decreases as x increases are true.
Learn more about the function here:
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= 488000
(real number)
= 4.88 × 105
(scientific notation)
<span>= 4.88e5
maybe this will help ?</span>
The volume of a sphere is defined as:
V=(4*pi*r^3)/3
then, if we double the radius of the sphere (r=2r):
V=(4*pi*(2r)^3)/3
V=(4*pi*(2^3*r^3))/3
V=(4*pi*r^3)/3*8
Then, the answer is that if you double the radius of the sphere, its volume is increased 8 times.