Determine the domain and the range of the function f(x)=x²+4x+9
A)Domain-∞, -2], Range:[5,∞)
B)Domain-∞,∞) Range-∞,∞)
C)Domain:[5,∞) Range-∞,∞)
D)Domain-∞,∞), Range:[5,∞)
The domain of any polynominal is the set of real numbers: $\displaystyle \left( { - \infty ,\infty } \right)$.
For this one the miminum is at $\displaystyle x=-2$.
The implied domain of any polynominal is the set of real numbers: $\displaystyle \left( { - \infty ,\infty } \right)$.
For this one the miminum is at $\displaystyle x=-2$.
I'd suggest adding the red word to avoid confusion by novices when they meet questions that define a polynomial over a restricted domain ....