Answer:
Option C is correct.
as x > 0 increases, f(x) increases,
as x < 0 decreases, f(x) increase.
Step-by-step 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.
