Charlie uses the function f(x) = 2x ^ 2 + 5x + 3

Question

+ 5x + 3 to track the temperature of a substance, where x represents the time. What is the domain of Charlie's quadratic function in this situation?
Responses
A all real numbersall real numbers
B x < 0x < 0
C x > 1x > 1
D x ≥ 0x ≥ 0
E x ≤ 0

Answer 1

Since the function \( f(x) = 2x^2 + 5x + 3 \) represents the temperature of a substance over time, the domain is typically constrained to non-negative values of \( x \) because time cannot be negative. Therefore, the appropriate domain for this function would be:

D: \( x \geq 0 \)