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Use interval notation to indicate where - 8 f(x) = (x – 1)(x + 3) is continuous. f is continuous on Use INF for infinity, if you have trouble entering answer, click here for the format of interval notation

Use interval notation to indicate where - 8 f(x) = (x – 1)(x + 3) is continuous. f is continuous on Use INF for infinity, if you have trouble entering answer, click here for the format of interval notation

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 17E
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Use interval notation to indicate where т — 8 f(x) = (x – 1)(x + 3) is continuous. f is continuous on Use INF for infinity, if you have trouble entering answer, click here for the format of interval notation Using Interval Notation 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]. For infinite intervals, use Inf for o (infinity) and/or -Inf for -0 (-Infinity). For example, the infinite interval containing all points greater than or equal to 6 is expressed [ 6, Inf). 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]. If the answer is the empty set, you can specify that by using braces with nothing inside: { } • You can use R as a shorthand for all real numbers. So, it is equivalent to entering (-Inf, Inf). You can use set difference notation. So, for all real numbers except 3, you can use R-{3} or (-Inf, 3)U(3, Inf) (they are the same). Similarly, [1,10)- {3,4}is the same as [1,3)U(3,4)U(4, 10). 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.
Transcribed Image Text:Use interval notation to indicate where т — 8 f(x) = (x – 1)(x + 3) is continuous. f is continuous on Use INF for infinity, if you have trouble entering answer, click here for the format of interval notation Using Interval Notation 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]. For infinite intervals, use Inf for o (infinity) and/or -Inf for -0 (-Infinity). For example, the infinite interval containing all points greater than or equal to 6 is expressed [ 6, Inf). 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]. If the answer is the empty set, you can specify that by using braces with nothing inside: { } • You can use R as a shorthand for all real numbers. So, it is equivalent to entering (-Inf, Inf). You can use set difference notation. So, for all real numbers except 3, you can use R-{3} or (-Inf, 3)U(3, Inf) (they are the same). Similarly, [1,10)- {3,4}is the same as [1,3)U(3,4)U(4, 10). 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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