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Webwork Help Entering Intervals 

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Endpoints of intervals: If an endpoint is included, then use [ or ]. If not, then use ( or ). For example, the interval from -3 to 7 that includes 7 but not -3 is expressed (-3,7]. Infinite intervals: For infinite intervals, use Inf for ∞ (infinity) or -Inf for -∞ (Infinity). For example, the infinite interval containing all points greater than or equal to 6 is expressed [6,Inf).

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Unions of intervals: If the set includes more than one interval, they are joined using the union symbol U. For example, the set consisting of all points in (-3,7] together with all points in [-8,-5) is expressed [-8,-5)U(-3,7]. WeBWorK will not interpret [2,4]U[3,5] as equivalent to [2,5], unless a problem tells you otherwise. All sets should be expressed in their simplest interval notation form, with no overlapping intervals.

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Empty intervals: If the answer is the empty set, you can specify that by using braces with nothing inside: { }

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Special symbols: You can use R as a shorthand for all real numbers. So, it is equivalent to entering (-Inf, Inf).

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Set notation: You can use set difference notation. So, for all real numbers except 3, you can use R-{3} or (-Inf, 3)U(3,Inf) since they are the same. Similarly, [1,10)-{3,4} is the same as [1,3)U(3,4)U(4,10).

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One point intervals: When an interval contains only one point, enter it as a one point set such as {3} or as a closed interval such as [3,3].

Webwork Help Entering Formulas 

Link to a list of all available functions

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Formulas must use the correct variable(s): For example, a function of time t could be -16t^2 + 12, while -16x^2 + 12 would be incorrect.

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Examples of valid formulas: 5*sin((pi*x)/2) or 5 sin(pi x/2) e^(-x) or e**(-x) or 1/(e^x) abs(5y) or |5y| sqrt(9 - z^2) or (9 - z^2)^(1/2)

24 pi 

or 4! or 4 * 3 * 2 * 1 or 4 arctan(1) or 4 atan(1) or 4 tan^(-1)(1)

Entering logarithms: Caution: In this question, use ln(x) or log(x) for natural log, and logten(x) or log10(x) for the base 10 logarithm. Enter log base b as ln(x)/ln(b)

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Examples of constants used in formulas: pi, e = e^1

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Examples of operations used in formulas: Addition +, subtraction -, multiplication *, division /, exponentiation ^ (or **), factorial !

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Examples of functions used in formulas: sqrt(x) = x^(1/2), abs(x) = | x | 2^x, e^x, ln(x), log10(x) sin(x), cos(x), tan(x), csc(x), sec(x), cot(x) arcsin(x) = asin(x) = sin^(-1)(x) arccos(x) = acos(x) = cos^(-1)(x) arctan(x) = atan(x) = tan^(-1)(x)

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Sometimes formulas must be simplified: For example, 6x + 5 - 2x should be simplified to 4x + 5

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Sometimes, certain operations are not allowed. Usually, the operations that are not allowed include addition +, subtraction -, multiplication *, division /, and exponentiation ^ (or **). When these operations are not allowed, it is usually because you are expected to be able to simplify your answer, often without using a calculator.

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Sometimes, certain functions are not allowed. Usually, the functions that are not allowed include square root sqrt( ), absolute value | | (or abs( )), as well as other named functions such as sin( ), ln( ), etc. When these functions are not allowed, it is usually because you are expected to be able to simplify your answer, often without using a calculator.

Webwork Help Entering Numbers 

Examples of (real) numbers include: 4, 5/2, -1/3, pi/3, e^3, 3.1415926535, sqrt(2) = 2^(1/2), ln(2), sin(2pi/3)

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If there is more than one correct answer, enter your answers as a comma separated list. For example, enter -1.5, 4/3, 2pi, e^3, 5 Do not use commas in large numbers: enter 4321 (not 4,321)

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If there are no solutions: Enter NONE or DNE (this may vary from problem to problem)

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If your answer is a decimal, give at least 5 decimal places. Typically, if your answer is correct to 5 decimal places it will be marked correct, although the number of decimal places required may vary from problem to problem. When in doubt, give more decimal places.

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Sometimes, fractions and certain operations are not allowed. Usually, the operations that are not allowed include addition +, subtraction -, multiplication *, division /, and exponentiation ^ (or **). When these operations are not allowed, it is usually because you are expected to be able to simplify your answer, often without using a calculator.

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Sometimes, certain functions are not allowed. Usually, the functions that are not allowed include square root sqrt( ), absolute value | | (or abs( )), as well as other named functions such as sin( ), ln( ), etc. When these functions are not allowed, it is usually because you are expected to be able to simplify your answer, often without using a calculator....