Practice Exam

Question 12 • Mathematics II

Which graph shows a function with a range of all real numbers greater than or equal to negative 1 ?

Answer

Image with description A V-shaped graph that opens downward, has vertex at negative 2 comma 1, and passes through the points negative 3 comma 0, and negative 1 comma 0.

Image with description A V-shaped graph that opens upward, has vertex at 2 comma 1, and passes through the points negative 4 comma 3, and 0 comma 3.

Image with description A V-shaped graph that opens downward, has vertex at negative 2 comma negative 1, and passes through the points negative 4 comma negative 3, and 0 comma negative 3.

Image with description A V-shaped graph that opens upward, has vertex at negative 2 comma negative 1, and passes through the points negative 3 comma 0, and negative 1 comma 0.

Explanation

A V-shaped graph that opens upward has its vertex as its lowest point, so its range starts at the vertex’s y-coordinate and extends upward. Choice D has a vertex at (−2, −1), giving a range of all y-values greater than or equal to −1.

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