91Ó°ÊÓ

In Exercises \(21-45,\) find and simplify the difference quotient \(\frac{f(x+h)-f(x)}{h}\) for the given function. $$ f(x)=2 x-5 $$

Use the given function \(f\) to find and simplify the following: \- \(f(2)\) \- \(2 f(a)\) \- \(f\left(\frac{2}{a}\right)\) \- \(f(-2)\) \- \(f(a+2)\) -\(\frac{f(a)}{2}\) \- \(f(2 a)\) \- \(f(a)+f(2)\) \- \(f(a+h)\) $$f(x)=3 x^{2}+3 x-2$$

Find the distance \(d\) between the points and the midpoint \(M\) of the line segment which connects them. $$ (1,2),(-3,5) $$

In Exercises \(21-41,\) determine analytically if the following functions are even, odd or neither. $$ f(x)=7 x+2 $$

In Exercises \(21-45,\) find and simplify the difference quotient \(\frac{f(x+h)-f(x)}{h}\) for the given function. $$ f(x)=-3 x+5 $$

In Exercises \(21-41,\) determine analytically if the following functions are even, odd or neither. $$ f(x)=7 $$

Use the given function \(f\) to find and simplify the following: \- \(f(2)\) \- \(2 f(a)\) \- \(f\left(\frac{2}{a}\right)\) \- \(f(-2)\) \- \(f(a+2)\) -\(\frac{f(a)}{2}\) \- \(f(2 a)\) \- \(f(a)+f(2)\) \- \(f(a+h)\) $$f(x)=\sqrt{2 x+1}$$

In Exercises \(21-45,\) find and simplify the difference quotient \(\frac{f(x+h)-f(x)}{h}\) for the given function. $$ f(x)=6 $$

Find the distance \(d\) between the points and the midpoint \(M\) of the line segment which connects them. $$ (3,-10),(-1,2) $$

In Exercises \(21-45,\) find and simplify the difference quotient \(\frac{f(x+h)-f(x)}{h}\) for the given function. $$ f(x)=3 x^{2}-x $$