91Ó°ÊÓ

Find \(f(-1)\) if \(f(x)=2 x^{2}-x\).

Is the expression \(4 x^{3}-3.6 x^{2}-\sqrt{2}\) a polynomial? If so, what is its degree?

Multiple Choice Which type of asymptote will never intersect the graph of a rational function? (a) horizontal (b) oblique (c) vertical (d) all of these

True or False The domain of every rational function is the set of all real numbers.

Multiple Choice The cube function \(f(x)=x^{3}\) is _____. (a) even (b) odd (c) neither The graph of the cube function _____. (a) has no symmetry (b) is symmetric about the \(y\) -axis (c) is symmetric about the origin (d) is symmetric about the line \(y=x\)

In Problems 9-18, information is given about a polynomial function f whose coefficients are real numbers. Find the remaining zeros off. Degree \(3 ;\) zeros: \(3,4-i\)

Use the Remainder Theorem to find the remainder when \(f(x)\) is divided by \(x-c .\) Then use the Factor Theorem to determine whether \(x-c\) is a factor of \(f(x)\). $$ f(x)=4 x^{4}-15 x^{2}-4 ; x-2 $$

Multiple Choice Which type of asymptote, when it occurs, describes the behavior of a graph when \(x\) is close to some number? (a) vertical (b) horizontal (c) oblique (d) all of these

Information is given about a polynomial function f whose coefficients are real numbers. Find the remaining zeros off. Degree \(4 ;\) zeros: \(i, 7,-7\)

Determine the maximum number of real zeros that each polynomial function may have. Then use Descartes' Rule of Signs to determine how many positive and how many negative real zeros each polynomial function may have. Do not attempt to find the zeros. $$ f(x)=-4 x^{7}+x^{3}-x^{2}+2 $$