Which of the following is the reciprocal parent function A.f(x)= -x^2 B.F(x)= x+1 C. F(x)=|x| D.F(x)=1/x
2 answers:
Answer: The correct option is D.
Explanation:
The reciprocal function is in the form of rational function and negative exponent form.
The parent equation of reciprocal function is,
It can be written as,
The domain of this function is all real numbers except 0 and range is all real number except zero.
Therefore, the correct option is D.
The function in option A and B are polynomial functions.
The function in option C is a modulus function.
Therefore, the options A,B and C are incorrect.
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Answer: f(n+1) = 3 f(n)
Step-by-step explanation:
- A recursive formula is used to determine each term of a sequence using preceding term or terms.
Given sequence : 2.5, 7.5, 22.5, 67.5, 202.5,...
Here,
Common ratio = 3
Let f(n) be a term in this sequence then the next term will be f(n+1) = 3 f(n), where n is a natural number .
Required recursive formula : f(n+1) = 3 f(n)