What is the domain of the function f(x) = 2x^2 - 3?
1 answer:
Domain: Set of all real numbers
If you want to express the domain in set-builder notation, then you'd write something like
which is fancy notation to basically say "x is any real number"
If you want to write the domain in interval notation, then you'd write
which is the interval from negative infinity to positive infinity. In other words, the entire real number line.
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The domain is the set of all real numbers because we don't have any restrictions to worry about. There are no division by zero errors. There are no cases where we have to worry about taking the square root of a negative number, or anything similar. Any number can replace x to generate an output for y.
If you want to express the domain in set-builder notation, then you'd write something like
If you want to write the domain in interval notation, then you'd write
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The domain is the set of all real numbers because we don't have any restrictions to worry about. There are no division by zero errors. There are no cases where we have to worry about taking the square root of a negative number, or anything similar. Any number can replace x to generate an output for y.
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Answer:
Option (c) is correct.
The distance covered by the man in 1 hour is represented by te expression miles.
Step-by-step explanation:
Given: A man walks 10 miles in x hours.
We have to choose a correct expression that represents the distance covered by the man in 1 hour.
Consider the given statement."A man walks 10 miles in x hours."
Using UNITARY METHOD,
(is a method in which we first find the value of a single unit and then multiply it with desired quantity)
Distance covered by man in x hours = 10 miles,
So distance covered by man in 1 hour = miles.
So, The distance covered by the man in 1 hour is represented by te expression miles.