91Ó°ÊÓ

a. Rewrite the given equation in slope-intercept form. b. Give the slope and y-intercept. c. Graph the equation. $$2 x+3 y-18=0$$

Use a graphing utility to graph the function. Use the graph to determine whether the function has an inverse that is a function (that is, whether the function is one-to-one). $$f(x)=\frac{x^{4}}{4}$$

Find the domain of each function. $$h(x)=\frac{12 x}{x^{2}-36}$$

Complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. $$x^{2}+y^{2}-6 y-7=0$$

Use a graphing utility to graph the function. Use the graph to determine whether the function has an inverse that is a function (that is, whether the function is one-to-one). $$f(x)=\operatorname{int}(x-2)$$

a. Rewrite the given equation in slope-intercept form. b. Give the slope and y-intercept. c. Graph the equation. $$4 x+6 y+12=0$$

Find the average rate of change of the function from \(x_{1}\) to \(x_{2}.\) $$f(x)=6 x \text { from } x_{1}=0 \text { to } x_{2}=4$$

Find the domain of each function. $$f(x)=\frac{2}{(x+3)(x-7)}$$

a. Rewrite the given equation in slope-intercept form. b. Give the slope and y-intercept. c. Graph the equation. $$8 x-4 y-12=0$$

Use a graphing utility to graph the function. Use the graph to determine whether the function has an inverse that is a function (that is, whether the function is one-to-one). $$f(x)=|x-2|$$