91Ó°ÊÓ

(a) use a graphing utility to graph the function and find the zeros of the function and (b) verify your results from part (a) algebraically. \(f(x)=\sqrt{2 x+11}\)

Verifying a Polygon, show that the points form the vertices of the indicated polygon. Isosceles triangle: \((1,-3),(3,2),(-2,4)\)

Graphical Reasoning, use a graphing utility to graph \(f, g,\) and \(f+g\) in the same viewing window. Which function contributes most to the magnitude of the sum when \(0 \leq x \leq 2 ?\) Which function contributes most to the magnitude of the sum when \(x>6 ?\) $$f(x)=3 x, \quad g(x)=-\frac{x^{3}}{10}$$

Evaluating a Function In Exercises \(21-32\) , evaluate (if possible) the function at each specified value of the independent variable and simplify. $$ \begin{array}{l}{q(x)=1 /\left(x^{2}-9\right)} \\ {\text { (a) } q(0) \quad \text { (b) } q(3)}\end{array} \quad \text { (c) } q(y+3) $$

Find the \(x\) - and \(y\) -intercepts of the graph of the equation. \(y=|3 x-7|\)

(a) use a graphing utility to graph the function and find the zeros of the function and (b) verify your results from part (a) algebraically. \(f(x)=\sqrt{3 x-14}-8\)

Verifying a Polygon, show that the points form the vertices of the indicated polygon. Isosceles triangle: \((2,3),(4,9),(-2,7)\)

Find the \(x\) - and \(y\) -intercepts of the graph of the equation. \(y=-|x+10|\)

Verifying Inverse Functions In Exercises \(21-32\) verify that \(f\) and \(g\) are inverse functions (a) algebraically and (b) graphically. $$f(x)=1-x^{3}, \quad g(x)=\sqrt[3]{1-x}$$

Graphical Reasoning, use a graphing utility to graph \(f, g,\) and \(f+g\) in the same viewing window. Which function contributes most to the magnitude of the sum when \(0 \leq x \leq 2 ?\) Which function contributes most to the magnitude of the sum when \(x>6 ?\) $$f(x)=\frac{x}{2}, \quad g(x)=\sqrt{x}$$