Question
Give the domain and range of the following functions:
f(x) = 1⁄4x – 7
g(x) = 3x2+ 2
f(x) = 1⁄4x – 7
g(x) = 3x2+ 2
Answers
Steve
the domain of <u>all</u> polynomials is all real numbers.
the domain of rational functions is wherever the denominator is not zero.
3x^2+2 is clearly a minimum when x=0, so the range is [2,∞)
the domain of rational functions is wherever the denominator is not zero.
3x^2+2 is clearly a minimum when x=0, so the range is [2,∞)