Algebra 1-Domain and Range Flashcards

Is the following set a function? Domain: -7 ≤ x < 5, Range: -3 ≤ y < 1

Is the following set a function? Domain: x = -5, Range: -2 < y < 6

Is the following set a function? Domain: -4 ≤ x ≤ 4, Range: -4 ≤ y ≤ 4

Is the following set a function? Domain: x ≥ 0, Range: All Real Numbers

Is the following set a function? Domain: x > 0, Range: y = 4

Is the following set a function? Domain: -3 < x ≤ 5, Range: y = -1

Is the following set a function? Domain: -4 ≤ x ≤ 2, Range: -2 ≤ y ≤ 4

Is the following set a function? Domain: -3 < x < 4, Range: 0 ≤ y < 5

Is the following set a function? Domain: -3 ≤ x ≤ 4, Range: -2 ≤ y ≤ 4

Is the following set a function? Domain: All Real Numbers, Range: y ≥ 0

Is the following set a function? Domain: All Real Numbers, Range: All Real Numbers

Function Identification and Domain/Range Analysis

A function is determined by evaluating if each input (x-value) has a unique output (y-value).
If any x-value maps to multiple y-values, it is not a function.

Specific Cases of Functions

Card 1: Function is valid; Domain: -7 ≤ x < 5; Range: -3 ≤ y < 1
Card 2: Not a function; Domain: x = -5; Range: -2 < y < 6
Card 3: Not a function; Domain: -4 ≤ x ≤ 4; Range: -4 ≤ y ≤ 4
Card 4: Not a function; Domain: x ≥ 0; Range: All real numbers
Card 5: Function is valid; Domain: x > 0; Range: y = 4 (constant function)
Card 6: Function is valid; Domain: -3 < x ≤ 5; Range: y = -1 (constant function)
Card 7: Function is valid; Domain: -4 ≤ x ≤ 2; Range: -2 ≤ y ≤ 4
Card 8: Function is valid; Domain: -3 < x < 4; Range: 0 ≤ y < 5
Card 9: Not a function; Domain: -3 ≤ x ≤ 4; Range: -2 ≤ y ≤ 4
Card 10: Function is valid; Domain: All real numbers; Range: y ≥ 0
Card 11: Function is valid; Domain: All real numbers; Range: All real numbers

Key Concepts

Domain refers to the set of all possible x-values for which the function is defined.
Range refers to the set of all possible y-values that the function can output.
Constant functions have a fixed y-value across a range of x-values, as seen in Cards 5 and 6.
Intervals in domain and range can be open (not inclusive) or closed (inclusive).

Test your understanding of functions by determining if a graph represents a function, and identifying its domain and range. This quiz includes multiple examples to enhance your algebraic skills related to function analysis.