Someone please help me with this question
2 answers:
Answer: Option 3. Option 4.
Step-by-step explanation:
concept to know: when the exponent is a fraction, the numerator will be the real exponent with the base (i.e 7^5), while the denominator will be the root
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b is the numerator which means it will result in
c is the denominator which means it will result in
The combination of this two will be
This will also be presented as
Hope this helps!! :)
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<h2>Answer:</h2>
The correct options are:
- The domain is all real numbers.
- The base must be less than 1 and greater than 0.
- The function has a constant multiplicative rate of change.
We know that the exponential function is given by:
where a>0 and b are constants.
Also, it represents a growth function if b>1
and a decay function if 0<b<1
where b is the base.
- x belongs to whole of the real numbers( since the exponential function is well defined for all the real values of x.
Hence, the domain of the function is all the real numbers )
- Also, the graph of a decay function decreases continuously i.e. with the increasing input value the output value decreases.
- The exponential decay function always have a constant multiplicative rate of change i.e. b.