Question

clue #3
describe the end behavior for the graph of the function ( f(x)=4x^{2}+5x - 2 ).
the victim did not die of chemical poisoning.
ms mccoll was cooking in the kitchen.
coach brown was watching mary poppins in the band hall.
the murder weapon was not a stapler

Explanation:

Step1: Determine the degree and leading coefficient

The function \( f(x)=4x^{2}+5x - 2 \) is a quadratic function (\( n = 2\), degree is even) and the leading coefficient \( a=4>0\).

Step2: Apply the end - behavior rule for polynomials

For a polynomial \( y = a x^{n}+\cdots\), when \( n\) is even and \( a>0\), as \( x
ightarrow\infty\), \( y = f(x)
ightarrow\infty\) and as \( x
ightarrow-\infty\), \( y = f(x)
ightarrow\infty\).

Answer:

As \( x
ightarrow\infty\), \( f(x)
ightarrow\infty\) and as \( x
ightarrow-\infty\), \( f(x)
ightarrow\infty\)