Question

Graph the given function using the given values of x. Also use the graph to determine the domain and range of the function.

1b. g(x)= square root of x+3 ; x= -3, -2, 1, 6

Answer 1

Graph the given function using the given values of $x$ . Also use the graph to determine the domain and range of the function.

1b. $g(x) = \sqrt{x + 3}$ ; $x = -3, -2, 1, 6$

Solution:

$$g (- 3) = \sqrt {- 3 + 3} = 0$$ $$g (- 2) = \sqrt {- 2 + 3} = 1$$ $$g (1) = \sqrt {1 + 3} = 2$$ $$g (6) = \sqrt {6 + 3} = 3$$

Domain $D(x)$ $x\in [-3, + \infty)$

Range $E(x)$ $y\in [0, + \infty)$