91Ó°ÊÓ

Are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Given \(f(x)=x^{2}+3 x-2,\) find \(f(x-2)\)

Use the Intermediate Value Theorem to show that each polynomial function has a real zero in the given interval. $$ f(x)=3 x^{3}-10 x+9 ;[-3,-2] $$

Use the Intermediate Value Theorem to show that each polynomial function has a real zero in the given interval. $$ f(x)=x^{5}-x^{4}+7 x^{3}-7 x^{2}-18 x+18 ;[1.4,1.5] $$

If \(f(x)=4 x+3,\) find \(f\left(\frac{x-3}{4}\right)\)

Mixed Practice \(G(x)=(x+3)^{2}(x-2)\) (a) Identify the \(x\) -intercepts of the graph of \(G\). (b) What are the \(x\) -intercepts of the graph of \(y=G(x+3) ?\)

Solve \(\omega=\frac{1}{\sqrt{L C}}\) for \(C\)

Use the Intermediate Value Theorem to show that each polynomial function has a real zero in the given interval. $$ f(x)=x^{5}-3 x^{4}-2 x^{3}+6 x^{2}+x+2 ;[1.7,1.8] $$

Are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. $$ \text { Solve: } x-\sqrt{x+7}=5 $$

Are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. $$ \text { Solve: } 2\left[\frac{-x^{2}}{\sqrt{4-x^{2}}}+\sqrt{4-x^{2}}\right]=0 $$

Determine whether the graph of $$\left(x^{2}+y^{2}-2 x\right)^{2}=9\left(x^{2}+y^{2}\right)$$ is symmetric with respect to the \(x\) -axis, \(y\) -axis, origin, or none of these.