91Ó°ÊÓ

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. If \(f(x)=x^{3}\) and \(g(x)=-(x-3)^{3}-4,\) then the graph of \(g\) can be obtained from the graph of \(f\) by moving \(f\) three units to the right, reflecting about the \(x\) -axis, and then moving the resulting graph down four units.

Will help you prepare for the material covered in the next section. Solve for \(y: 3 x+2 y-4=0\)

Assume that \((a, b)\) is a point on the graph of \(f .\) What is the corresponding point on the graph of each of the following functions? $$y=2 f(x)$$

Assume that \((a, b)\) is a point on the graph of \(f .\) What is the corresponding point on the graph of each of the following functions? $$y=f(x)-3$$

The length of a rectangle exceeds the width by 13 yards. If the perimeter of the rectangle is 82 yards, what are its dimensions?

Solve: \(\sqrt{x+10}-4=x\)

If \(f(x)=x^{2}+3 x+2,\) find \(\frac{f(x+h)-f(x)}{h}, h \neq 0,\) and simplify.

Exercises \(156-158\) will help you prepare for the material covered in the next section. Perform the indicated operation or operations. $$(2 x-1)\left(x^{2}+x-2\right)$$

Exercises \(156-158\) will help you prepare for the material covered in the next section. Perform the indicated operation or operations. $$(f(x))^{2}-2 f(x)+6, \text { where } f(x)=3 x-4$$

Exercises \(156-158\) will help you prepare for the material covered in the next section. Simplify: \(\frac{2}{\frac{3}{x}-1}\)