Identify all the sets to which the number 0.41567 belongs a. rational number b. irrational c. integer rational number d. whole number, integer ,rational number

a. Rational number

Step-by-step explanation:

Whole numbers include 0 and counting numbers (1, 2, 3, etc.).  This number does not fall into that category since it is a decimal that cannot be written as a whole number.

Integers include whole numbers as well as negatives of those whole numbers.  Since this has a decimal, it is not an integer.

Rational numbers include any numbers that can be written as a fraction, including decimals, integers and whole numbers.  Since this is a decimal, it can be written as a fraction and is a rational number.

An irrational number is a number that cannot be written as a fraction.  Since this number is rational, it cannot also be irrational.

hello,

as we don't know if g(x) is continue,

answer b

f(x)=2x²-8x+1=2(x²-4x+4)+1-8=2(x-2)²-7

vertex is (2,-7) ( a minimum since coefficient of x² is > 0)