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Which best describes the end behavior of y=7x^2?

As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) decreases.

As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) decreases.

As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) increases.

As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) increases.

2 Answers

4 votes
As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) increases.
because f(x) is a quadratic with lowest point at x=0
User VITs
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3 votes

Answer:

Option C is correct.

as x > 0 increases, f(x) increases,

as x < 0 decreases, f(x) increase.

Explanation:

Given the function:
y = 7x^2

Degree of the polynomial states that the sum of the exponents of each variable in the expression.

The degree of
7x^2 is 2 i.e Even

The leading coefficient of the polynomial
7x^2 is, 7 i.e, Positive.

End behavior of the polynomial is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

Also, the degree and the leading coefficient of a polynomial function determine the end behavior of the graph.

Since, the degree of the given function is even and the leading coefficient is positive.

End behavior of the function
y = 7x^2 is:

as
x \rightarrow +\infty, then
f(x) \rightarrow +\infty

and

as
x \rightarrow -\infty , then
f(x) \rightarrow +\infty

Therefore, as x > 0 increases, f(x) increases.

As x < 0 decreases, f(x) increases.

Which best describes the end behavior of y=7x^2? As x > 0 increases, f(x) decreases-example-1
User Zawarudo
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8.5k points

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