DOMAIN AND RANGE

Vertical line test A test use to check if the relation is a function. If the vertical line passes through more than one point of the graph, then it’s NOT a function yes No

Domain and range Domain Range Domain is the set of the first coordinates Range is the set of the second coordinates Function: a relation that assigns to each value in the domain exactly one value in the range.

Find the domain and range of this function: Example: Find the domain and range of this function:

Determine if the relation is a FUNCTION Domain Range Domain Range The relationship is NOT a function The relationship is a function

Warm-up Use the Vertical Line Test to determine the function: Function Not a Function Function Determine if the relations are a Function by mapping Function Function

Finding the Domain and range All real numbers Range: y: y ≥ 1 y, such that y is ≥ to 1

Graph and find the domain and range of the following function Your Turn! y = x2 - 1 domain: {-1,0,1,2} x y = x2 - 1 (x, y) –1 y = (-1)2 - 1 = 0 (–1, 0) 0 y = (0)2 - 1 = -1 (0, -1) 1 y = (1)2 - 1 = 0 (1, 0) 2 y = (2)2 - 1 = 3 (2, 3) Domain: All real numbers Range: y: y ≥ -1

Domain: all real numbers Domain and Range Domain: all real numbers Range: {y | y≥ -3}

Domain: all real numbers Domain and Range Domain: all real numbers Range: {y | y ≤ 3}

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