In 6 7 determine the domain or range for the functions repr

In 6 & 7, determine the domain or range for the functions represented in the graphs. Write your solution in interval notation. A function f(x) is depicted in the graph. Find the input values (x values) that produce the indicated output (y values) for f(x) = 1.

Solution

(6) since this is a straight line so for all x value ,there is y value

domain = {x E R} , range = {y E R} here E = belongs to and R = real numbers

(7) this is parabola . y = -(x+1)^2 +1 , and this is valid for all x value. but y is not going beyond 1.

domain ={x E R} , range = f(x) =< 1 or (-infinty, 1]

(8) from the graph, at x = 0 then y = 1