WeBWorK : mathprep : Section09SettingUpFunctionsTest : v5

Problem 1.

(1 point)

An interval is specified by $a < x < b$ . Which of the following is true?

A. All of $a$ , $b$ and $x$ represent variables.
B. $x$ represents a variable, and $a, b$ are constants.
C. $x$ is the name of a function and $a, b$ represent variables.
D. $x$ is the name of a function and $a, b$ represent constants.
E. $a$ and $b$ represent variables, and $x$ is a constant.

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Problem 2.

(1 point)

If $y = 3x + 5$ and $x = {\pi t^3\over 3}$ , write a formula for $y$ in terms of $t$ .
$y(t) =$

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Problem 3.

(1 point)

Write an expression for $v(h)$ if $v = 16 t + 10$ and $h = 8t + 16$ .
$v(h) =$

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Problem 4.

(1 point)

An interval on the $y$ axis is specified by $c \le y \le d$ . Which of the following is true?

A. All of $c$ , $d$ and $y$ represent variables.
B. $y$ represents a variable, and $c, d$ are constants.
C. $y$ is the name of a function and $c, d$ represent variables.
D. $y$ is the name of a function and $c, d$ represent constants.
E. $c$ and $d$ represent variables, and $y$ is a constant.

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Problem 5.

(1 point)

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

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Problem 6.

(1 point)

If $f = a^{-x}$ , what is the coefficient of $x$ ?

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

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