Question

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

1e. g(x)=x^3+1 ; x= -2, -1, 0, 1, 2

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.

1e $g(x) = x^{3} + 1;x = -2, - 1,0,1,2$

Solution:

$$g (- 2) = (- 2) ^ {3} + 1 = - 7$$ $$g (- 1) = (- 1) ^ {3} + 1 = 0$$ $$g (0) = (0) ^ {3} + 1 = 1$$ $$g (1) = (1) ^ {3} + 1 = 2$$ $$g (2) = (2) ^ {3} + 1 = 9$$

Domain $D(x): x \in R$

Range $E(x): y \in R$