WeBWorK : mathprep : Section09SettingUpFunctionsTest : v6

Problem 1.

(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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Problem 2.

(1 point)

Express the area of a circle, $A$ , in terms of its circumference, $C$ .
$A(C) =$

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Problem 3.

(1 point)

If $g(x) = 3\sin(2x)$ and $x = 4\cos(2t)$ , find a formula for the function $g(t)$ .
$g(t) =$

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Problem 4.

(1 point)

The height $s$ of an object under the effect of gravity, $g$ , is given at time $t$ by $s = {1\over2}gt^2 + v_0 t + s_0$ . Which of the following is true?

A. $s, t$ , and $v_0$ are variables, and $g$ and $s_0$ are constants
B. $s$ and $t$ represent variables, and $g, v_0$ , and $s_0$ are constants.
C. $s$ is the name of a function, $t$ and $s_0$ represent variables, and $g$ and $v_0$ are constants.
D. $s$ is the name of a function, $t$ and $v_0$ represent variables, and $g$ and $s_0$ are constants
E. All of $s, t, v_0$ , and $s_0$ are variables, and $g$ is constant

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Problem 5.

(1 point)

If $P=P_0 e^{kt}$ , what is the coefficient of $t$ ?

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Problem 6.

(1 point)

A function representing voltage fluctuates according to $V(t) = V_0 \cos(120\pi t)$ , where $V_0$ is the initial voltage. Which of the following is true?

A. $V_0$ is the name of a function, $V$ and $t$ are variables, and $\pi$ is a constant.
B. $V$ is the name of a function, $V_0$ represents a variable, and $t$ and $\pi$ are constants.
C. $V$ , $V_0$ and $t$ are variables and $\pi$ is a constant.
D. $V$ is the name of a function, $V_0$ and $t$ represent variables, and $\pi$ is constant.
E. $V$ is the name of a function, $t$ represents a variable, and $V_0$ and $\pi$ are constants.

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

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