91Ó°ÊÓ

Using a graphing calculator, estimate the real zeros, the relative maxima and minima, and the range of the polynomial function. $$f(x)=2 x^{4}-5.6 x^{2}+10$$

Solve. \(\frac{3}{4} x+10=\frac{1}{5}+2 x[1.5]\)

Make a hand-drawn graph. Be sure to label all the asymptotes. List the domain and the \(x\) -intercepts and the \(y\) -intercepts. Check your work using \(a\) graphing calculator. $$f(x)=\frac{x^{2}+3 x}{2 x^{3}-5 x^{2}-3 x}$$

Consider the function $$g(x)=x^{2}+5 x-14$$ What are the inputs if the output is \(-14 ?[3.2]\)

For each polynomial function: A. Find the rational zeros and then the other zeros; that is, solve \(f(x)=0\) B. Factor \(f(x)\) into linear factors. $$f(x)=3 x^{3}-x^{2}-15 x+5$$

Determine whether the statement is true or false. If \(P(x)=(x+2)^{2}\left(x-\frac{1}{4}\right)^{5},\) then the graph of the polynomial function \(y=P(x)\) crosses the \(x\) -axis at \(\left(\frac{1}{4}, 0\right)\)

For each polynomial function: A. Find the rational zeros and then the other zeros; that is, solve \(f(x)=0\) B. Factor \(f(x)\) into linear factors. $$f(x)=4 x^{3}-4 x^{2}-3 x+3$$

Make a hand-drawn graph. Be sure to label all the asymptotes. List the domain and the \(x\) -intercepts and the \(y\) -intercepts. Check your work using \(a\) graphing calculator. $$f(x)=\frac{3 x}{x^{2}+5 x+4}$$

Consider the function $$g(x)=x^{2}+5 x-14$$ What is the output if the input is \(3 ?\)

Consider the function $$g(x)=x^{2}+5 x-14$$ Given an output of \(-20,\) find the corresponding inputs.