91Ó°ÊÓ

Find the distance \(d\) between the points and the midpoint \(M\) of the line segment which connects them. $$ \left(\frac{1}{2}, 4\right),\left(\frac{3}{2},-1\right) $$

In Exercises \(21-41,\) determine analytically if the following functions are even, odd or neither. $$ f(x)=3 x^{2}-4 $$

Use the given function \(f\) to find and simplify the following: \- \(f(2)\) \- \(2 f(a)\) \- \(f\left(\frac{2}{a}\right)\) \- \(f(-2)\) \- \(f(a+2)\) -\(\frac{f(a)}{2}\) \- \(f(2 a)\) \- \(f(a)+f(2)\) \- \(f(a+h)\) $$ f(x)=117 $$

Use the given function \(f\) to find and simplify the following: \- \(f(2)\) \- \(2 f(a)\) \- \(f\left(\frac{2}{a}\right)\) \- \(f(-2)\) \- \(f(a+2)\) -\(\frac{f(a)}{2}\) \- \(f(2 a)\) \- \(f(a)+f(2)\) \- \(f(a+h)\) $$f(x)=\frac{x}{2}$$

Find the distance \(d\) between the points and the midpoint \(M\) of the line segment which connects them. $$ \left(-\frac{2}{3}, \frac{3}{2}\right),\left(\frac{7}{3}, 2\right) $$

In Exercises \(21-41,\) determine analytically if the following functions are even, odd or neither. $$ f(x)=4-x^{2} $$

In Exercises \(21-45,\) find and simplify the difference quotient \(\frac{f(x+h)-f(x)}{h}\) for the given function. $$ f(x)=-x^{2}+2 x-1 $$

In Exercises \(21-41,\) determine analytically if the following functions are even, odd or neither. $$ f(x)=x^{2}-x-6 $$

Find the distance \(d\) between the points and the midpoint \(M\) of the line segment which connects them. $$ \left(\frac{24}{5}, \frac{6}{5}\right),\left(-\frac{11}{5},-\frac{19}{5}\right) $$

Use the given function \(f\) to find and simplify the following: \- \(f(2)\) \- \(2 f(a)\) \- \(f\left(\frac{2}{a}\right)\) \- \(f(-2)\) \- \(f(a+2)\) -\(\frac{f(a)}{2}\) \- \(f(2 a)\) \- \(f(a)+f(2)\) \- \(f(a+h)\) $$f(x)=\frac{2}{x}$$