state the domain and range, the restrictions, the intervals of increasing and decreasing, the roots, y-intercepts, and vertices
f(x)=x+1
x -1
+23246 When graphed, this is a hyperbola with center at (1,1).
Domain: set of all possible x-values ---> the only x-value that you cannot use is x = 1, because this makes the denominator zero. Domain: all real numbers except 0.
Range: set of all possible y-values ---> the only y-value that you cannot get for an answer is y = 1. Range: all real numbers except 1.
Roots occur when y = 0: 0 = (x + 1) / (x - 1) ---> 0 = x + 1 ---> x = -1
y-intercepts occur when x = 0: y = (0 + 1) / (o - 1) ---> y = -1
The y-values increase as x increases from -∞ to 1 and also increase past 1 to ∞.
Vertices occur at (1 - √2, 1 - √2) and (1 + √2, 1 + √2).
+23246 When graphed, this is a hyperbola with center at (1,1).
Domain: set of all possible x-values ---> the only x-value that you cannot use is x = 1, because this makes the denominator zero. Domain: all real numbers except 0.
Range: set of all possible y-values ---> the only y-value that you cannot get for an answer is y = 1. Range: all real numbers except 1.
Roots occur when y = 0: 0 = (x + 1) / (x - 1) ---> 0 = x + 1 ---> x = -1
y-intercepts occur when x = 0: y = (0 + 1) / (o - 1) ---> y = -1
The y-values increase as x increases from -∞ to 1 and also increase past 1 to ∞.
Vertices occur at (1 - √2, 1 - √2) and (1 + √2, 1 + √2).
