Answer:
Domain: (-∞, -2) U [-2, 1] U (1, ∞)
Range: (-∞, 2) U [-3, -∞)
Step-by-step explanation:
This function is composed of three polynomial functions, a positive slope line , whose domain is all real numbers, a horizontal line, and a negative slope line
whose domain is all real numbers.
Observe in the attached graph that the function has a discontinuity in x = -2, it has a jump.
When x approaches -2 by the left hand, y tends to 2. But when x approaches -2 from the right y tends to -3.
In addition, the function comes from -∞, then has a maximum value at y = 2 and finally derece up to -∞
Then we can conclude that for this piecewise function:
Domain: (-∞, -2) U [-2, 1] U (1, ∞) All Real Numbers
Range: (-∞, 2) U [-3, -∞)
Answer:
(h,k)=(8,-8)
Step-by-step explanation:
From the given equivalent forms of the function g(x), we are to pick which form quickly reveals the vertex.
The vertex form of a parabola is given: , where (h, k) is the vertex of the parabola.
Therefore, Option A, quickly reveals the vertex.
From the above, h=8, k=-8. Therefore the vertex (h,k)=(8,-8)
Answer: If a group wants to take a 3 hour ride they should choose Hobbs Mules.
Step-by-step explanation:
First figure out how much a 3 hour ride at McGee Mules would cost. Do this by setting up a proportion, then solving it.
Numerator = Time Denominator = Cost
=
42 x 3 = 126/1 = 126 So a 3 hour ride with Mcgee should cost $126.
Next figure out how much a 3 hour ride at Hobbs Mules would cost by doing the same thing.
=
80 x 3 = 240/2 = 120 So a 3 hour ride with Hobbs should cost $120.
In conclusion, The group should choose Hobbs because they price is $6 cheaper.