Question

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

f(x)=x^2-1 ; x = -3, -2, -1, 0, 1, 2, 3

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.

$$f (x) = x ^ {2} - 1; x = - 3, - 2, - 1, 0, 1, 2, 3$$

Solution:

$$f (- 3) = (- 3) ^ {2} - 1 = 8$$ $$f (- 2) = (- 2) ^ {2} - 1 = 3$$ $$f (- 1) = (- 1) ^ {2} - 1 = 0$$ $$f (0) = (0) ^ {2} - 1 = - 1$$ $$f (1) = (1) ^ {2} - 1 = 0$$ $$f (2) = (2) ^ {2} - 1 = 3$$ $$f (4) = (4) ^ {2} - 1 = 8$$

Domain $x\in R$

Range $y\in [-1, + \infty)$