Asked by Vicky
What is the range of f(x)=−3x−1?
the set of real numbers less than 0
the set of real numbers greater than 0
the set of real numbers greater than −1
the set of real numbers less than −1 <my choice
the set of real numbers less than 0
the set of real numbers greater than 0
the set of real numbers greater than −1
the set of real numbers less than −1 <my choice
Answers
Answered by
Steve
as written, f(x) has a range of all real numbers.
Pick any value for f(x), and you can easily find an x to produce it. For example, suppose you want
f(x) = 11
-3x-1 = 11
-3x = 12
x = -4
So, you must have a typo. Your range of f < -1 could be produced with
f(x) = -3x^2 - 1
f(x) = -|3x| - 1
f(x) = -3^x - 1
Maybe that's what you meant.
Pick any value for f(x), and you can easily find an x to produce it. For example, suppose you want
f(x) = 11
-3x-1 = 11
-3x = 12
x = -4
So, you must have a typo. Your range of f < -1 could be produced with
f(x) = -3x^2 - 1
f(x) = -|3x| - 1
f(x) = -3^x - 1
Maybe that's what you meant.
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