Question

Consider function f and function g.

Answer 1

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.

What is a function?

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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