18
practice examMultiple Choice

Practice Exam

Question 18 • Mathematics II

Which function has a maximum with the same maximum value as f of x is equal to negative start absolute value x plus 3 end absolute value minus 2 ?

Answer
A
f of x is equal to negative square root of x plus 6 end root minus 2
B
f of x is equal to negative open paren x minus 6 close paren squared minus 3
C
f of x is equal to square root of x plus 3 end root minus 3
D
f of x is equal to open paren x plus 3 close paren squared minus 2

Explanation

The absolute-value graph f(x) = -|x + 3| - 2 opens downward, and its vertex is at (-3, -2), so its maximum value is -2. Choice B, f(x) = -√(x + 6) - 2, also has a maximum of -2: its domain starts at x = -6, where the square root is 0, and the function decreases from there.

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