91Ó°ÊÓ

Graph each function. Insert solid circles or hollow circles where necessary to indicate the true nature of the function. $$J(x)=\left\\{\begin{array}{ll} 4, & \text { if } x \leq-1 \\ x^{2}, & \text { if }-1

Find the value of \(x\) in the domain of \(f(x)=1-4 x\) for which \(f(x)=3\).

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

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. +$$x=-y^{2}+5$$

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. $$x=y^{2}-6$$

Use the properties of inequalities to solve each inequality. Write answers using interval notation. $$3 x-5>16$$

Graph the given equation. Label each intercept. Use the concept of symmetry to confirm that the graph is correct. $$|y|=|x|$$

Graph each function. Insert solid circles or hollow circles where necessary to indicate the true nature of the function. $$K(x)=\left\\{\begin{array}{ll} 1, & \text { if } x \leq-2 \\ x^{2}-4, & \text { if }-2

Find the maximum or minimum value of the function. State whether this value is a maximum or a minimum. $$f(x)=3 x^{2}-41$$

Find \(g \circ f\) and \(f^{\circ} g\) for the given functions \(f\) and \(g .\) $$f(x)=-x^{3}-7, \quad g(x)=x+1$$