Which of the shaded regions below represents 3/5 of the whole circle
1 answer:
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The correct option A: graph A, shows the logarithmic function;
f(x) = log₃x + 1
<h3>Explain the term logarithmic function?</h3>- The opposite of such an exponential function is a logarithmic function.
- A log function and then an exponential function both use the same base.
- An exponent is a logarithm. f(x) = bx is how the exponential function be expressed.
- The formula again for logarithmic function is f(x) = log base b of x.
f(x) = log₃x + 1
- When x = 1
f(1) = log₃1 + 1
f(1) = 0 + 1
f(1) = 1
(1, 1)
- When x = 3
f(3) = log₃3 + 1
f(3) = 1 + 1
f(3) = 2
(3, 2)
Thus, the graph must contain the points (1, 1), (3, 2).
Therefore, graph A define the given logarithmic function;
f(x) = log₃x + 1.
To know more about the logarithmic function, here
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Answer:
Vertical Asymptote:
Horizontal asymptote:
it does not exist
Step-by-step explanation:
we are given
Vertical asymptote:
we know that vertical asymptotes are values of x where f(x) becomes +inf or -inf
we know that any log becomes -inf when value inside log is zero
so, we can set value inside log to zero
and then we can solve for x
we get
Horizontal asymptote:
we know that
horizontal asymptote is a value of y when x is +inf or -inf
For finding horizontal asymptote , we find lim x-->inf or -inf
so, it does not exist