# CHAPTER 3 PRACTICE TEST

As a study aid, we have included complete solutions for each Practice Test problem at the back of this book.

Given $f(x)\hspace{0.17em}=\hspace{0.17em}{\displaystyle \frac{8}{x}}\hspace{0.17em}-\hspace{0.17em}2{x}^{2}\hspace{0.17em},\hspace{0.17em}$ find (a) $f(\hspace{0.17em}-\hspace{0.17em}4)$ and (b) $f(x\hspace{0.17em}-\hspace{0.17em}4)\hspace{0.17em}.\hspace{0.17em}$

A rocket has a mass of 2000 Mg at liftoff. If the first-stage engines burn fuel at the rate of 10 Mg/s, find the mass

`m`of the rocket as a function of the time`t`(in s) while the first-stage engines operate. Sketch the graph for $t\hspace{0.17em}=\hspace{0.17em}0s$ to $t\hspace{0.17em}=\hspace{0.17em}60s\hspace{0.17em}.\hspace{0.17em}$Plot the graph of the function $f(x)\hspace{0.17em}=\hspace{0.17em}4\hspace{0.17em}-\hspace{0.17em}2x\hspace{0.17em}.\hspace{0.17em}$

Use a graphing calculator to solve the equation $2{x}^{2}\hspace{0.17em}-\hspace{0.17em}3\hspace{0.17em}=\hspace{0.17em}3x$ to the nearest 0.1.

Plot the graph of the function $y\hspace{0.17em}=\hspace{0.17em}\sqrt{4\hspace{0.17em}+\hspace{0.17em}2x}\hspace{0.17em}.\hspace{0.17em}$

Locate all points (

*x, y*) for which $x\hspace{0.17em}<\hspace{0.17em}0$ and $y\hspace{0.17em}=\hspace{0.17em}0.$Find the domain and the range of the function $f(x)\hspace{0.17em}=\hspace{0.17em}\sqrt{6\hspace{0.17em}-\hspace{0.17em}x}\hspace{0.17em}.\hspace{0.17em}$

If the function

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