what is the domain of this quadratic function? {x|x ≤ 10} {x|x ≥ -1} {x|-2 ≤ x ≤ 10} all real numbers
what is the domain of this quadratic function? {x|x ≤ 10} {x|x ≥ -1} {x|-2 ≤ x ≤ 10} all real numbers
Answer
Explanation:
Step1: Recall domain definition
The domain of a function is the set of all possible input - values (x - values).
Step2: Analyze quadratic function
Quadratic functions are polynomials of degree 2. For a polynomial function (y = ax^{2}+bx + c) ((a\neq0)), there are no restrictions on the values of (x) for which the function is defined.
Step3: Determine domain
The graph of the quadratic function extends infinitely to the left and right. So, the domain is all real numbers.
Answer:
all real numbers