Graph the function y = √ x + 4 – 2. Then state the domain and range of the function.
2 answers:
Answer:
Domain : [-4, ∞)
Range : [ -2, ∞)
Step-by-step explanation:
The given function is y =
Domain of the given function will be
(x + 4) ≥ 0
[ Since square root of numbers less than 0 is not possible ]
Domain : x ≥ (-4)
Or [-4, ∞) will be the domain
Now range of the function will be x ≥ -2
[ -2, ∞) will be the range of the given function.
You might be interested in
Answer:
a) (-5,0) and (1,0)
b) (0,-5)
c) minimum
See attached graph.
Step-by-step explanation:
To graph the function, find the vertex of the function find (-b/2a, f(-b/2a)). Substitute b = 4 and a = 1.
-4/2(1) = -4/2 = -2
f(-2) = (-2)^2 + 4(-2) - 5 = 4 - 8 - 5 = -4 - 5 = -9
Plot the point (-2,-9). Then two points two points on either side like x = -1 and x = -3. Substitute x = -1 and x = -3
f(-1) = (-1)^2 + 4 (-1) - 5 = 1 - 4 - 5 = -8
Plot the point (-1,-8).
f(-3) = (-3)^2 + 4(-3) - 5 = 9 - 12 - 5 = -8
Plot the point (-3,-8).
See the attached graph.
The features of the graph are:
a) (-5,0) and (1,0)
b) (0,-5)
c) minimum
