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The table represents the function f(x). If g(x) = -(x + 1)^2 - 10, which statement is true?

The table represents the function f(x). If g(x) = -(x + 1)^2 - 10, which statement-example-1
User Haansi
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Answer:

Answer C is correct.

Explanation:

f(x) clearly has a maximum: y = +10 at x = 0.

Analyzing g(x) = -(x + 1)^2 - 10, we see that the vertex is at (-1, -10), and that the graph opens down. Thus, -10 is the maximum value; it occurs at x = -1.

Answer A is false. Both functions have max values.

Answer B is false. One max is y = 10 and the other is y = -10.

Answer C is correct. The max value of f(x), which is 10, is greater than the max value of g(x), which is -10.

Answer D is false. See Answer B, above.

User Nikita Chernov
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