Domain and Range.

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Presentation transcript:

Domain and Range

Types of Numbers Irrational, Q (nonterminating, nonrepeating decimals) Real, R Rational, Q (fractions, terminating or repeating decimals) Irrational, Q (nonterminating, nonrepeating decimals) Complex, C Imaginary Integers, Z (-2,-1,0,1,2) Whole, W (0,1,2,3,4) Natural, N (1,2,3,4)

Inequalities Inequalities can be represented: in words < less than < less than or equal to > greater than > greater than or equal to Inequalities can be represented: in words on a number line as a list of numbers in set notation

“x is any real number greater than -3” Words List of Numbers “x is any real number greater than -3” -3…-2… Number Line Set Notation {x  R I x > 3}

“x is any real number less than or equal to -3 or greater than 4” Words List of Numbers N/A “x is any real number less than or equal to -3 or greater than 4” Number Line Set Notation {x  R I x < -3 or x >4}

“x is any real number between -2 and 5 inclusive” Words List of Numbers -2…5 “x is any real number between -2 and 5 inclusive” Number Line Set Notation {x  R I -2 < x < 5}

“x is any integer between -5 and 0 inclusive” Words List of Numbers -5,-4,-3,-2,-1,0 “x is any integer between -5 and 0 inclusive” Number Line Set Notation {x  Z I -5 < x < 0}

Homework Inequality Worksheet

Domain Is this a function? What are the possible x-values? We call this the function’s domain. In set notation: {xR I -4 ≤ x ≤ 5} {x I -4 ≤ x ≤ 5, xR} Domain: All possible values of the independent variable.

Range Is this a function? What are the possible y-values? We call this the function’s range. In set notation: {yR I -2 ≤ y ≤ 4} {y I -2 ≤ y ≤ 4, yR} Range: All possible values of the dependent variable.

Homework Worksheet P. 63 #1, 4, 5, 12 & Challenge: 8, 9

Warm Up

Restrictions