WeBWorK : mathprep : Section09SettingUpFunctionsTest : v4

Problem 1.

(1 point)

If $P=3l+2w+6d$ , what is the coefficient of $l$ ?

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Problem 2.

(1 point)

If $s = {1\over2}gt^2 + vt + h$ , what is the coefficient of $t$ ?

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Problem 3.

(1 point)

You are told that the difference between two functions is constant, $f(x) - g(x) = C$ . Which of the following is true?

A. All of $f, g, x$ are names of functions and $C$ is a constant.
B. $f$ and $g$ are names of functions, $x$ represents a variable, and $C$ is a constant.
C. $f$ and $g$ are names of functions, and $x$ and $C$ both represent variables.
D. $x$ is the name of a function, $f, g$ are variables, and $C$ is a constant.
E. All of $f, g, x$ are names of functions and $C$ is a variable.

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Problem 4.

(1 point)

The rate at which an ice tray in a freezer cools, $R$ is given as a function of time to be $R(T) = k ( T - T_0 )$ , where $k$ is a constant of proportionality, $T$ is the temperature of the ice tray and $T_0$ the temperature of the freezer. Which of the following is true?

A. $R$ is the name of a function, $T$ is a variable, and $k$ and $T_0$ are constants.
B. $R$ , $T$ , and $T_0$ are variables, and $k$ is a constant.
C. $R$ is the name of a function, $T$ and $T_0$ are variables, and $k$ is a constant.
D. $R$ and $k$ are names of functions, $T$ is a variable and $T_0$ is a constant.
E. $R$ and $k$ are variables, and $T$ and $T_0$ are constants.

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Problem 5.

(1 point)

If $y = \ln({x+4\over 5})$ , what is the coefficient of $x$ ?

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Problem 6.

(1 point)

Express the volume, $V$ , of a cube as a function of the area, $A$ , of its base.
$V(A) =$

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Problem 7.

(1 point)

Two functions differ by a constant multiple, $g(x) = k f(x)$ . Which of the following is true?

A. $f$ and $g$ are names of functions, $x$ is a variable, and $k$ is a constant.
B. $f$ , $g$ , and $k$ are all constants and $x$ is a variable.
C. $g$ and $k$ are names of functions, $x$ is a variable and $f$ is a constant.
D. $f$ and $g$ are constants, $x$ is a variable, and $k$ is a constant.
E. $f$ , $g$ , and $x$ are all variables and $k$ is a constant.

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Problem 8.

(1 point)

A right circular cone with height $h$ and radius $r$ has volume $V = {1\over 3}\pi r^2 h$ . Write a formula for $V(h)$ if its radius is half as long as its height.
$V(h) =$

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Problem 9.

(1 point)

If $B = 2 p + q$ and $q - 2p = 1$ , write a formula for the function $B(p)$ .
$B(p) =$

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Problem 10.

(1 point)

A refrigerator has a square base that is 4 units on each side. Express its height $h$ as a function of its volume $V$ .
$h(V) =$

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Test Section09SettingUpFunctionsTest

Problem 1.

Problem 2.

Problem 3.

Problem 4.

Problem 5.

Problem 6.

Problem 7.

Problem 8.

Problem 9.

Problem 10.