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Magazine Problem 58
Use translations to graph \(f .\) $$ f(x)=\sqrt{x-1} $$
Problem 58
Complete the following. (a) Find the domain of \(f\) (b) Graph \(f\) in an appropriate viewing rectangle. (c) Find any horizontal or vertical asymptotes. (d) Sketch a graph of \(f\) that includes any asymptotes. $$ f(x)=\frac{0.5 x^{2}+1}{x^{2}-9} $$
Problem 59
Use translations to graph \(f .\) $$ f(x)=\sqrt{x+2}-1 $$
Problem 59
Complete the following. (a) Find the domain of \(f\) (b) Graph \(f\) in an appropriate viewing rectangle. (c) Find any horizontal or vertical asymptotes. (d) Sketch a graph of \(f\) that includes any asymptotes. $$ f(x)=\frac{4}{1-0.25 x^{2}} $$
Problem 59
Solve the rational inequality (a) symbolically and (b) graphically. $$ \frac{4}{x+3} \geq 0 $$
Problem 60
Solve the rational inequality (a) symbolically and (b) graphically. $$ \frac{x-1}{x+1}<0 $$
Problem 60
Complete the following. (a) Find the domain of \(f\) (b) Graph \(f\) in an appropriate viewing rectangle. (c) Find any horizontal or vertical asymptotes. (d) Sketch a graph of \(f\) that includes any asymptotes. $$ f(x)=\frac{x^{2}}{1+0.25 x^{2}} $$
Problem 61
Solve the equation. Check your answers. $$ x^{3}=8 $$
Problem 61
Solve the rational inequality (a) symbolically and (b) graphically. $$ \frac{5}{x^{2}-4}<0 $$
Problem 61
Complete the following. (a) Find the domain of \(f\) (b) Graph \(f\) in an appropriate viewing rectangle. (c) Find any horizontal or vertical asymptotes. (d) Sketch a graph of \(f\) that includes any asymptotes. $$ f(x)=\frac{x^{2}-4}{x-2} $$
