DOMAIN AND RANGE Vertical line test A test

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DOMAIN AND RANGE

DOMAIN AND RANGE

Vertical line test A test use to check if the relation is a function.

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

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.

Example: 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 The relationship is NOT a

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

Warm-up Use the Vertical Line Test to determine the function: Function Not a Function

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

Finding the Domain and range Domain: All real numbers Range: y: y ≥ 1

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

Your Turn! y = x 2 - 1 domain: {-1, 0, 1, 2} x

Your Turn! y = x 2 - 1 domain: {-1, 0, 1, 2} x y = x 2 - 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 Graph and find the domain and range of the following function

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

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

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

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

Classwork

Classwork