Find the domain and range of the function graphed below

Asked by admin @ 02/10/2021 in Mathematics viewed by 348 People

Find the domain and range of the function graphed below.

Answered by admin @ 02/10/2021

The domain and the range of a graph is the possible x and y values, the graph can take.

The domain of the function is: $-1 \le x < 3$ .
The range of the function is: $3 \ge y > -5$

First, we determine the domain.

On the x-axis, the curve starts from x = -1 with a closed circle, and it ends at x = 3, with an open circle

A closed circle is represented by $\ge$ or $\le$ , while an open circle is represented > or <

So, the domain of the graph is: $-1 \le x < 3$

Next, we determine the range.

On the y-axis, the curve starts from y = 3 with a closed circle, and it ends at y = -5, with an open circle

Using the explanation of open and closed circle above,

The range of the function is: $3 \ge y > -5$

Hence, the domain and the range of the graph are: $-1 \le x < 3$ and $3 \ge y > -5$ , respectively.

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