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AssignmentMultiple Select

Unit Test

Question 1 • * FL-1200315-Algebra 1 Sem 2 - CR

The function f(x) = –0.3(x – 5)2 + 5 is graphed. What are some of its key features? Check all that apply.

Answer
A
The axis of symmetry is x = 5.
B
The domain is {x| x is a real number}.
C
The function is increasing over (–∞, 5).
D
The minimum is (5, 5).
E
The range is {y| y ≥ 5}.

Explanation

The function is in vertex form, so its vertex is (5, 5) and its axis of symmetry is x = 5. Since the squared term has a negative coefficient, the parabola opens downward: it increases up to x = 5, then decreases, and has a maximum—not a minimum—at (5, 5). Its domain is all real numbers, while its range is y ≤ 5.

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