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6 determine if the relation below is a function and state the domain an…

Question

6 determine if the relation below is a function and state the domain and range. (a) graph of a parabola opening upwards function: domain: (b) a $-3 leq x leq 3$ b all real numbers c $y geq 2$ d $x geq 2$ dropdown for function: yes/no, enter value

Explanation:

Step1: Check if it's a function

Use vertical line test: any vertical line intersects the graph at most once → Yes.

Step2: Identify domain

x-values extend infinitely left/right → All real numbers.

Step3: Identify range

Lowest y-value is 2, y increases upward → \( y \geq 2 \).

Answer:

Function: Yes; Domain: All real numbers; Range: \( y \geq 2 \)