91Ó°ÊÓ

Find the \(x\) - and \(y\) -intercepts of the graph of each equation. Use the intercepts and additional points as needed to draw the graph of the equation. $$x^{2}+y^{2}=4$$

Identify whether the given function is an even function, an odd function, or neither. $$F(x)=x^{5}+x^{3}$$

Find the solution of \(f(x)=0 .\) Verify that the solution of \(f(x)=0\) is the same as the \(x\)-coordinate of the \(x\)-intercept of the graph of \(y=f(x)\). $$f(x)=-2 x-4$$

The sum of the length \(l\) and the width \(w\) of a rectangular area is 240 meters. a. Write \(w\) as a function of \(l\) b. Write the area \(A\) as a function of \(l\) c. Find the dimensions that produce the greatest area.

Identify whether the given function is an even function, an odd function, or neither. $$G(x)=2 x^{5}-10$$

Find \(g \circ f\) and \(f^{\circ} g\) for the given functions \(f\) and \(g .\) $$f(x)=\frac{6}{x-2}, g(x)=\frac{3}{5 x}$$

Use the properties of inequalities to solve each inequality. Write answers using interval notation. $$-5 x+2 \leq 37$$

Graph each function. Insert solid circles or hollow circles where necessary to indicate the true nature of the function. $$P(x)=\operatorname{int}(x)+x \quad \text { for } 0 \leq x \leq 4$$

Find the solution of \(f(x)=0 .\) Verify that the solution of \(f(x)=0\) is the same as the \(x\)-coordinate of the \(x\)-intercept of the graph of \(y=f(x)\). $$f(x)=\frac{1}{4} x+5$$

Find \(g \circ f\) and \(f^{\circ} g\) for the given functions \(f\) and \(g .\) $$f(x)=\frac{3}{|5-x|}, g(x)=-\frac{2}{x}$$