Practice Test

Question 12 • Algebra 2 with Probability

Which best describes the end behavior of y is equal to 7 x squared ?

Answer

As x is greater than 0 increases, f of x decreases. As x is less than 0 decreases, f of x decreases.

As x is greater than 0 increases, f of x decreases. As x is less than 0 decreases, f of x increases.

As x is greater than 0 increases, f of x increases. As x is less than 0 decreases, f of x increases.

As x is greater than 0 increases, f of x increases. As x is less than 0 decreases, f of x decreases.

Explanation

For y = 7x², the squared term becomes larger as x moves farther from 0 in either direction, and multiplying by 7 keeps the value positive. So as x increases toward positive infinity, f(x) increases; as x decreases toward negative infinity, f(x) also increases. This matches “increases” in both directions, choice C.

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