0. Functions

Introduction to Functions

0. Functions

Introduction to Functions

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Multiple Choice

Find the domain and range of the following graph (write your answer using interval notation).

Dom: $\left[-5,5\right]$ , Ran: $\left\lbrack-4,4\right\rbrack$

Dom: $\left[-2,2\right]$ , Ran: $\left[-3,3\right]$

Dom: $\left[-4,4\right]$ , Ran: $\left[-5,5\right]$

Dom: $\left(-5,5\right)$ , Ran: $\left(-4,4\right)$

Verified step by step guidance

Step 1: Understand the domain and range. The domain refers to the set of all possible x-values (horizontal axis) for which the graph is defined, while the range refers to the set of all possible y-values (vertical axis) the graph can take.

Step 2: Analyze the graph for the domain. Observe the x-values where the graph starts and ends. The graph spans from x = -5 to x = 5, including these endpoints. Therefore, the domain is [-5, 5] in interval notation.

Step 3: Analyze the graph for the range. Observe the y-values where the graph reaches its lowest and highest points. The graph spans from y = -5 to y = 5, including these endpoints. Therefore, the range is [-5, 5] in interval notation.

Step 4: Verify the endpoints. The graph includes the points (-5, -5) and (4, 5), which confirms that the domain and range include the endpoints.

Step 5: Write the final domain and range in interval notation. Domain: [-5, 5], Range: [-5, 5].

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