Problem 48
Question
Give the domain and the range of each quadratic function whose graph is described. Minimum \(=18\) at \(x=-6\)
Step-by-Step Solution
Verified Answer
The domain of the function is \((-∞, ∞)\), and the range of the function is \([18, ∞)\).
1Step 1: Determine the Domain
The domain of a function consists of all possible input values (i.e., values of x). Since a quadratic function is defined for all real numbers, the domain of this function is all real numbers, or in interval notation, \((-∞, ∞)\).
2Step 2: Determine the Range
The range of a function consists of all possible output values (i.e., values of y). Given that the minimum value of this function is \(18\) and the graph of the function is upside-down (because it opens up), the range of this function is all values greater than or equal to \(18\). This can be written in interval notation as \([18, ∞)\).
Other exercises in this chapter
Problem 48
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