Chapter 1

For the following exercises, find the values for each function, if they exist, then simplify. a. \(f(0)\) b. \(f(1)\) c. \(f(3)\) d. \(f(-x)\) e. \(f(a)\) f. \(f(a+h)\) $$f(x)=5 x-2$$

Find the values for each function, if they exist, then simplify. a. \(f(0)\) b. \(f(1)\) c. \(f(3)\) d. \(f(-x)\) e. \(f(a)\) f. \(f(a+h)\) \(f(x)=5 x-2\)

For the following exercises, find the values for each function, if they exist, then simplify. a. \(f(0)\) b. \(f(1)\) c. \(f(3)\) d. \(f(-x)\) e. \(f(a)\) f. \(f(a+h)\) $$f(x)=4 x^{2}-3 x+1$$

Find the values for each function, if they exist, then simplify. a. \(f(0)\) b. \(f(1)\) c. \(f(3)\) d. \(f(-x)\) e. \(f(a)\) f. \(f(a+h)\) \(f(x)=4 x^{2}-3 x+1\)

For the following exercises, find the values for each function, if they exist, then simplify. a. \(f(0)\) b. \(f(1)\) c. \(f(3)\) d. \(f(-x)\) e. \(f(a)\) f. \(f(a+h)\) $$f(x)=\frac{2}{x}$$

Find the values for each function, if they exist, then simplify. a. \(f(0)\) b. \(f(1)\) c. \(f(3)\) d. \(f(-x)\) e. \(f(a)\) f. \(f(a+h)\) \(f(x)=\frac{2}{x}\)

For the following exercises, find the values for each function, if they exist, then simplify. a. \(f(0)\) b. \(f(1)\) c. \(f(3)\) d. \(f(-x)\) e. \(f(a)\) f. \(f(a+h)\) $$f(x)=|x-7|+8$$

Find the values for each function, if they exist, then simplify. a. \(f(0)\) b. \(f(1)\) c. \(f(3)\) d. \(f(-x)\) e. \(f(a)\) f. \(f(a+h)\) \(f(x)=|x-7|+8\)

For the following exercises, find the values for each function, if they exist, then simplify. a. \(f(0)\) b. \(f(1)\) c. \(f(3)\) d. \(f(-x)\) e. \(f(a)\) f. \(f(a+h)\) $$f(x)=\sqrt{6 x+5}$$

Find the values for each function, if they exist, then simplify. a. \(f(0)\) b. \(f(1)\) c. \(f(3)\) d. \(f(-x)\) e. \(f(a)\) f. \(f(a+h)\) \(f(x)=\sqrt{6 x+5}\)

For the following exercises, find the values for each function, if they exist, then simplify. a. \(f(0)\) b. \(f(1)\) c. \(f(3)\) d. \(f(-x)\) e. \(f(a)\) f. \(f(a+h)\) $$f(x)=\frac{x-2}{3 x+7}$$

Find the values for each function, if they exist, then simplify. a. \(f(0)\) b. \(f(1)\) c. \(f(3)\) d. \(f(-x)\) e. \(f(a)\) f. \(f(a+h)\) \(f(x)=\frac{x-2}{3 x+7}\)

For the following exercises, find the values for each function, if they exist, then simplify. a. \(f(0)\) b. \(f(1)\) c. \(f(3)\) d. \(f(-x)\) e. \(f(a)\) f. \(f(a+h)\) $$f(x)=9$$

Find the values for each function, if they exist, then simplify. a. \(f(0)\) b. \(f(1)\) c. \(f(3)\) d. \(f(-x)\) e. \(f(a)\) f. \(f(a+h)\) \(f(x)=9\)

For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the functions. $$ f(x)=\frac{x}{x^{2}-16} $$

Find the domain, range, and all zeros/intercepts, if any, of the functions. \(f(x)=\frac{x}{x^{2}-16}\)

For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the functions. $$ g(x)=\sqrt{8 x-1} $$

Find the domain, range, and all zeros/intercepts, if any, of the functions. \(g(x)=\sqrt{8 x-1}\)

For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the functions. $$ h(x)=\frac{3}{x^{2}+4} $$

Find the domain, range, and all zeros/intercepts, if any, of the functions. \(h(x)=\frac{3}{x^{2}+4}\)

For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the functions. $$ f(x)=-1+\sqrt{x+2} $$

Find the domain, range, and all zeros/intercepts, if any, of the functions. \(f(x)=-1+\sqrt{x+2}\)

For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the functions. $$ f(x)=\frac{1}{\sqrt{x-9}} $$

Find the domain, range, and all zeros/intercepts, if any, of the functions. \(f(x)=\frac{1}{\sqrt{x-9}}\)

For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the functions. $$ g(x)=\frac{3}{x-4} $$

Find the domain, range, and all zeros/intercepts, if any, of the functions. \(g(x)=\frac{3}{x-4}\)

Find the domain, range, and all zeros/intercepts, if any, of the functions. \(f(x)=4|x+5|\)

For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the functions. $$ g(x)=\sqrt{\frac{7}{x-5}} $$

Find the domain, range, and all zeros/intercepts, if any, of the functions. \(g(x)=\sqrt{\frac{7}{x-5}}\)

For the following exercises, set up a table to sketch the graph of each function using the following values: \(x=-3,-2,-1,0,1,2,3\) $$f(x)=x^{2}+1$$

Set up a table to sketch the graph of each function using the following values: \(x=-3,-2,-1,0,1,2,3\) \(\quad f(x)=x^{2}+1\)

For the following exercises, set up a table to sketch the graph of each function using the following values: \(x=-3,-2,-1,0,1,2,3\) $$ f(x)=3 x-6 $$

Set up a table to sketch the graph of each function using the following values: \(x=-3,-2,-1,0,1,2,3\) \(f(x)=3 x-6\)

For the following exercises, set up a table to sketch the graph of each function using the following values: \(x=-3,-2,-1,0,1,2,3\) $$ f(x)=\frac{1}{2} x+1 $$

Set up a table to sketch the graph of each function using the following values: \(x=-3,-2,-1,0,1,2,3\) \(\quad f(x)=\frac{1}{2} x+1\)

For the following exercises, set up a table to sketch the graph of each function using the following values: \(x=-3,-2,-1,0,1,2,3\) $$ f(x)=2|x| $$

Set up a table to sketch the graph of each function using the following values: \(x=-3,-2,-1,0,1,2,3\) \(\quad f(x)=2|x|\)

For the following exercises, set up a table to sketch the graph of each function using the following values: \(x=-3,-2,-1,0,1,2,3\) $$ f(x)=-x^{2} $$

Set up a table to sketch the graph of each function using the following values: \(x=-3,-2,-1,0,1,2,3\) \(f(x)=-x^{2}\)

For the following exercises, set up a table to sketch the graph of each function using the following values: \(x=-3,-2,-1,0,1,2,3\) $$ f(x)=x^{3} $$

Set up a table to sketch the graph of each function using the following values: \(x=-3,-2,-1,0,1,2,3\) \(f(x)=x^{3}\)

Each pair of functions, find a. \(f+g\) b. \(f-g\) c. \(f \cdot g\) d. \(f / g .\) Determine the domain of each of these new functions. \(f(x)=x-8, g(x)=5 x^{2}\)

For the following exercises, for each pair of functions, find a. \(f+g\) b. \(f-g\) c. \(f \cdot g\) d. \(f / g .\) Determine the domain of each of these new functions. $$ f(x)=3 x+4, g(x)=x-2 $$

For each pair of functions, find a. \(f+g\) b. \(f-g\) c. \(f \cdot g\) d. \(f / g\). Determine the domain of each of these new functions. \(\quad f(x)=3 x+4, g(x)=x-2\)

For the following exercises, for each pair of functions, find a. \(f+g\) b. \(f-g\) c. \(f \cdot g\) d. \(f / g .\) Determine the domain of each of these new functions. $$ f(x)=x-8, g(x)=5 x^{2} $$

For each pair of functions, find a. \(f+g\) b. \(f-g\) c. \(f \cdot g\) d. \(f / g\). Determine the domain of each of these new functions. \(f(x)=x-8, g(x)=5 x^{2}\)

For the following exercises, for each pair of functions, find a. \(f+g\) b. \(f-g\) c. \(f \cdot g\) d. \(f / g .\) Determine the domain of each of these new functions. $$ f(x)=3 x^{2}+4 x+1, g(x)=x+1 $$

For each pair of functions, find a. \(f+g\) b. \(f-g\) c. \(f \cdot g\) d. \(f / g\). Determine the domain of each of these new functions. \(f(x)=3 x^{2}+4 x+1, g(x)=x+1\)

For the following exercises, for each pair of functions, find a. \(f+g\) b. \(f-g\) c. \(f \cdot g\) d. \(f / g .\) Determine the domain of each of these new functions. $$ f(x)=9-x^{2}, g(x)=x^{2}-2 x-3 $$

For each pair of functions, find a. \(f+g\) b. \(f-g\) c. \(f \cdot g\) d. \(f / g\). Determine the domain of each of these new functions. \(f(x)=9-x^{2}, g(x)=x^{2}-2 x-3\)