Questions: Function: Yes)/No (circle) domain: (-∞, ∞) range: (2, ∞)

Transcript text: Function: Yes)/No (circle) domain: $(-\infty, \infty)$ range: $(2, \infty)$

Solution

Solution Steps

Step 1: Determine if the graph represents a function

To determine if the graph represents a function, we use the vertical line test. If any vertical line drawn through the graph intersects it at more than one point, it is not a function. In this case, any vertical line will intersect the graph at exactly one point.

Step 2: Identify the domain of the function

The domain of a function is the set of all possible input values (x-values). For this graph, the parabola extends infinitely in both the positive and negative x-directions. Therefore, the domain is all real numbers.

Step 3: Identify the range of the function

The range of a function is the set of all possible output values (y-values). For this graph, the lowest point on the parabola is at y = 2, and it extends infinitely upwards. Therefore, the range is all real numbers greater than or equal to 2.

Final Answer

Function: Yes
Domain: $(-\infty, \infty)$
Range: $[2, \infty)$

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >