Answer:
See explanation
Step-by-step explanation:
We want to show that:
One way is to use the basic double angle formula:
We simplify further to get:
We simplify again to get;
This finally gives:
Which of the following statements are true?
1 answer:
The true statements are; A. Both graphs have exactly one asymptote. C. Both graphs are exponential functions. B. Both graphs have been shifted and flipped.
<h3>What are exponential functions?</h3>When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.
There usual form is specified below. They are written in several such equivalent forms.
For example, y^x
, where a is a constant is an exponential function.
The graphs are exponential functions because as x increases, the y approaches infinity.
Here, the graphs have exactly one asymptote.
we can see that both graphs appear to have been shifted and flipped especially when at their respective coordinates.
The true statements are;
A. Both graphs have exactly one asymptote.
C. Both graphs are exponential functions.
B. Both graphs have been shifted and flipped.
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The domain and range of the graph of a logarithmic function are;
- Domain; 0 < x < +∞
- Range; The set of real numbers.
The basic equation of a logarithmic function can be presented in the form;
Where;
b > 0, and b ≠ 1, given that we have;
The inverse of the logarithmic function is the exponential function presented as follows;
Given that <em>b</em> > 0, we have;
Therefore, the graph of a logarithmic function has only positive x-values
The graph of a logarithmic function is one with a domain and range defined as follows;
Domain; 0 < x < +∞
Range; -∞ < y < +∞, which is the set of real numbers.
The correct option therefore has a domain as <em>x </em>> 0 and range as the set of all real numbers.
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