91Ó°ÊÓ

Determine algebraically whether the function is even, odd, or neither even nor odd. Then check your work graphically, where possible, using a graphing calculator. $$f(x)=7 x^{3}+4 x-2$$

Fill in the blank with the correct term. Some of the given choices will not be used. $$\begin{array}{ll}\text { even function } & \text { relative maximum } \\\ \text { odd function } & \text { rlativie minimum } \\ \text { conssinnf_unction } & \text { solution } \\ \text { composite function } & \text { zerrodicular } \\ \text { direct variaion } & \text { perallel } \\\ \text { inverse variaition } & \text { parals }\end{array}$$ Nonvertical lines are ________ only if they have the same slope and different \(y\) -intercepts. [ 1.4]

The point \((-12,4)\) is on the graph of \(y=f(x) .\) Find the corresponding point on the graph of \(y=g(x)\) $$g(x)=f(x)-2$$

Determine algebraically whether the function is even, odd, or neither even nor odd. Then check your work graphically, where possible, using a graphing calculator. $$f(x)=5 x^{2}+2 x^{4}-1$$

Find \(f(x)\) and \(g(x)\) such that \(h(x)=(f \circ g)(x)\) Answers may vary. $$h(x)=\frac{1}{\sqrt{3 x+7}}$$

Find \(f(x)\) and \(g(x)\) such that \(h(x)=(f \circ g)(x)\) Answers may vary. $$h(x)=\frac{x^{3}-1}{x^{3}+1}$$

Determine algebraically whether the function is even, odd, or neither even nor odd. Then check your work graphically, where possible, using a graphing calculator. $$f(x)=x^{17}$$

The point \((-12,4)\) is on the graph of \(y=f(x) .\) Find the corresponding point on the graph of \(y=g(x)\) $$g(x)=4 f(x)$$

The point \((-12,4)\) is on the graph of \(y=f(x) .\) Find the corresponding point on the graph of \(y=g(x)\) $$g(x)=-f(x)$$

Determine algebraically whether the function is even, odd, or neither even nor odd. Then check your work graphically, where possible, using a graphing calculator. $$f(x)=\sqrt[3]{x}$$