91Ó°ÊÓ

For the following exercises, for each of the piecewise- defined functions, a. evaluate at the given values of the independent variable and b. sketch the graph. $$ f(x)=\left\\{\begin{array}{l}{x^{2}-3, x<0} \\ {4 x-3, x \geq 0}\end{array} ; f(-4) ; f(0) ; f(2)\right. $$

For each of the piecewise defined functions, a. evaluate at the given values of the independent variable and b. sketch the graph. \(h(x)=\left\\{\begin{array}{c}x+1, x \leq 5 \\ 4, x>5\end{array} ; h(0) ; h(\pi) ; h(5)\right.\)

For the following exercises, for each of the piecewise- defined functions, a. evaluate at the given values of the independent variable and b. sketch the graph. $$ g(x)=\left\\{\begin{array}{l}{\frac{3}{x-2}, x \neq 2} \\ {4, x=2}\end{array} ; g(0) ; g(-4) ; g(2)\right. $$

For each of the piecewise defined functions, a. evaluate at the given values of the independent variable and b. sketch the graph. \(g(x)=\left\\{\begin{array}{l}\frac{3}{x-2}, x \neq 2 \\ 4, x=2\end{array} ; g(0) ; g(-4) ; g(2)\right.\)

For the following exercises, determine whether the statement is true or false. Explain why. \(f(x)=(4 x+1) /(7 x-2) \quad\) is a transcendental function.

Determine whether the statement is true or false. Explain why. \(\quad f(x)=(4 x+1) /(7 x-2) \quad\) is a transcendental function.

\(g(x)=\sqrt[3]{x}\) is an odd root function

Determine whether the statement is true or false. Explain why. \(g(x)=\sqrt[3]{x}\) is an odd root function

Determine whether the statement is true or false. Explain why. A logarithmic function is an algebraic function.

Determine whether the statement is true or false. Explain why. A function of the form \(f(x)=x^{b},\) where \(b\) is a real valued constant, is an exponential function.